{"id":724,"date":"2022-05-03T17:03:38","date_gmt":"2022-05-03T11:33:38","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=724"},"modified":"2022-04-29T11:40:41","modified_gmt":"2022-04-29T06:10:41","slug":"go-math-grade-3-answer-key-chapter-9-compare-fractions","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/go-math-grade-3-answer-key-chapter-9-compare-fractions\/","title":{"rendered":"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions"},"content":{"rendered":"<p>In Order to attempt the 3rd Grade Exam, you need to have strong fundamentals. Download <a href=\"https:\/\/ccssanswers.com\/go-math-grade-3-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 3 Answer Key<\/a> Chapter 9 Compare Fractions free of cost and get the homework help you need. Attempt the Mid Chapter Checkpoint Test to know your preparation level within the Chapter. Practice as much as you can using the 3rd Grade Go Math Solution Key and clear the exam with better grades.<\/p>\n<h2>3rd Grade Go Math Answer Key Chapter 9 Compare Fractions<\/h2>\n<p>You will have topics like Comparing Fractions with the Same Numerator and Denominators, Equivalent Fractions, Compare and order fractions, and so on. You will not feel the Concept of Comparing Fractions difficult anymore with our HMH Go Math Grade 3 Answer Key Chapter 9 Compare Fractions. Make the most out of the 3rd Grade Go Math Solution Key Chapter 9 and solve various questions in it and master the subject.<\/p>\n<p><strong>Lesson 1: Compare Fractions\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Compare _Fractions _Page_No_509\">Compare Fractions &#8211; Page No. 509<\/a><\/li>\n<li><a href=\"#Compare _Fractions _Lesson _Check_Page_No_510\">Compare Fractions Lesson Check &#8211; Page No. 510<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Problem Solving \u2022 Compare Fractions\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Problem_Solving_Compare_Fractions_Page_No_511\">Problem Solving Compare Fractions &#8211; Page No. 511<\/a><\/li>\n<li><a href=\"#&lt;a id=&quot;Problem_Solving_Compare_Fractions_Lesson _Check_Page_No_512&quot;&gt;&lt;\/a&gt;\">Problem Solving Compare Fractions Lesson Check &#8211; Page No. 512<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Compare Fractions with the Same Denominator\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Compare_Fractions_with_the_Same_Denominator_Page_No_517\">Compare Fractions with the Same Denominator &#8211; Page No. 517<\/a><\/li>\n<li><a href=\"#Compare_Fractions_with_the_Same_Denominator_Lesson _Check_Page_No_518\">Compare Fractions with the Same Denominator Lesson Check &#8211; Page No. 518<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Compare Fractions with the Same Numerator\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Compare_Fractions_with_the_Same_Numerator_Page_No_523\">Compare Fractions with the Same Numerator &#8211; Page No. 523<\/a><\/li>\n<li><a href=\"#Compare_Fractions_with_the_Same_Numerator_Lesson _Check_Page_No_524\">Compare Fractions with the Same Numerator Lesson Check &#8211; Page No. 524<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Compare Fractions\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Compare_Fractions_Page_No_529\">Compare Fractions &#8211; Page No. 529<\/a><\/li>\n<li><a href=\"#Compare_Fractions_Lesson _Check_Page_No_530\">Compare Fractions Lesson Check &#8211; Page No. 530<\/a><\/li>\n<\/ul>\n<p><strong>Mid -Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Page_No_531\">Mid -Chapter Checkpoint &#8211; Page No. 531<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Checkpoint_Lesson _Check_Page_No_532\">Mid -Chapter Checkpoint Lesson Check &#8211; Page No. 532<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Compare and Order Fractions<\/strong><\/p>\n<ul>\n<li><a href=\"#Compare_and_Order_Fractions_Page_No_537\">Compare and Order Fractions &#8211; Page No. 537<\/a><\/li>\n<li><a href=\"#Compare_and_Order_Fractions_Lesson _Check_Page_No_538\">Compare and Order Fractions Lesson Check &#8211; Page No. 538<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Model Equivalent Fractions\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Model_Equivalent_Fractions_Page_No_543\">Model Equivalent Fractions &#8211; Page No. 543<\/a><\/li>\n<li><a href=\"#Model_Equivalent_Fractions_Lesson _Check_Page_No_544\">Model Equivalent Fractions Lesson Check &#8211; Page No. 544<\/a><\/li>\n<\/ul>\n<p><a href=\"#Lesson_9.7_Page_No_548\"><strong>Lesson 9.7 &#8211; Page No. 548<\/strong><\/a><\/p>\n<p><strong>Lesson 9: Equivalent Fractions\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"#Equivalent_Fractions_Page_No_549\">Equivalent Fractions &#8211; Page No. 549<\/a><\/li>\n<li><a href=\"#Equivalent_Fractions_Lesson _Check_Page_No_550\">Equivalent Fractions Lesson Check &#8211; Page No. 550<\/a><\/li>\n<\/ul>\n<p><strong>Review\/ Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Review_Test_Page_No_551\">Review\/Test &#8211; Page No. 551<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_552\">Review\/Test &#8211; Page No. 552<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_553\">Review\/Test &#8211; Page No. 553<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_554\">Review\/Test &#8211; Page No. 554<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_555\">Review\/Test &#8211; Page No. 555<\/a><\/li>\n<li><a href=\"#Review_Test_Page_No_556\">Review\/Test &#8211; Page No. 556<\/a><\/li>\n<\/ul>\n<h3><a id=\"Compare _Fractions _Page_No_509\"><\/a>Compare Fractions &#8211; Page No. 509<\/h3>\n<p><strong>Share and Show<\/strong><\/p>\n<p>Question 1.<br \/>\nAt the park, people can climb a rope ladder to its top. Rosa climbed \\(\\frac{2}{8}\\) of the way up the ladder. Justin climbed \\(\\frac{2}{6}\\) of the way up the ladder. Who climbed higher on the rope ladder?<br \/>\nFirst, what are you asked to find?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: Justin climbed higher on the rope ladder.<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nRosa climbed \\(\\frac{2}{8}\\) of the way up the ladder<br \/>\nJustin climbed \\(\\frac{2}{6}\\) of the way up the ladder<br \/>\nWe are asked to find who climbed higher on the rope ladder<br \/>\nBy comparing the denominators we can say that Justin Climbed higher than Rosa on the rope ladder.<\/p>\n<p>Question 2.<br \/>\nThen, model and compare the fractions.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-2674\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Compare-fractions-solution-img_1-300x84.jpg\" alt=\"Go Math Grade 3 Chapter 9 Answer Key Compare fractions solution img_1\" width=\"300\" height=\"84\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Compare-fractions-solution-img_1-300x84.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Compare-fractions-solution-img_1.jpg 706w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 3.<br \/>\nLast, find the greater fraction.<br \/>\n\\(\\frac{2}{6}\\) _____ \\(\\frac{2}{8}\\)<\/p>\n<p>Answer: \\(\\frac{2}{6}\\) &gt; \\(\\frac{2}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When comparing fractions such as \\(\\frac{2}{8}\\) and \\(\\frac{2}{6}\\), you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.<\/p>\n<p>Question 4.<br \/>\n___________ climbed higher on the rope ladder<\/p>\n<p>Answer: Justin climbed higher on the rope ladder.<\/p>\n<p>Question 5.<br \/>\nWhat if Cara also tried the rope ladder and climbed \\(\\frac{2}{4}\\) of the way up? Who climbed highest on the rope ladder: Rosa, Justin, or Cara? Explain how you know.<br \/>\n___________<\/p>\n<p>Answer: If Cara also tried the rope ladder and climbed \\(\\frac{2}{4}\\) of the way up then Cara would be climbed highest on the rope ladder.<br \/>\nBecause comparing fractions \\(\\frac{2}{4}\\), \\(\\frac{2}{6}\\), \\(\\frac{2}{8}\\) Cara climbed high among the three. The fraction \\(\\frac{2}{4}\\) is the greater than other 2 fractions. So by seeing this we can say that Cara climbed hhighest on the rope ladder.<\/p>\n<h3><a id=\"Compare _Fractions _Lesson _Check_Page_No_510\"><\/a>Compare Fractions &#8211; Page No. 510<\/h3>\n<p><strong>Use the table for 4\u20135.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-1.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions img 1\" width=\"235\" height=\"160\" \/><\/p>\n<p>Question 1.<br \/>\nSuri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. Which flavor did Suri use on the most biscuits?<br \/>\n___________<\/p>\n<p>Answer: Raspberry<\/p>\n<p>Explanation:<\/p>\n<p>The above table shows the fraction of jam frosted on the biscuits.<br \/>\nFirst, check the denominators to compare the fractions.<br \/>\nThe denominators are the same. So, Compare with the numerators. The numerator of Raspberry is larger than other two flavors. So, Suri used Raspberry flavor on the most biscuits.<\/p>\n<p>Question 2.<br \/>\nWhat\u2019s the Question? The answer is strawberry<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p>Suri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. She frosted \\(\\frac{3}{8}\\) of the biscuits with peach jam, \\(\\frac{4}{8}\\) with raspberry jam, and \\(\\frac{1}{8}\\) with strawberry jam. Which flavor of jam did Suri use least on the biscuits?<\/p>\n<p>Question 3.<br \/>\nSuppose Suri had also used plum jam on the biscuits. She frosted \\(\\frac{1}{2}\\) of the biscuits with peach jam, \\(\\frac{1}{4}\\) with raspberry jam, \\(\\frac{1}{8}\\) with strawberry jam, and \\(\\frac{1}{8}\\) with plum jam. Which flavor of jam did Suri use on the most biscuits?<br \/>\n___________<\/p>\n<p>Answer: Peach<\/p>\n<p>Explanation:<\/p>\n<p>The fraction of peach jam is greater than raspberry jam, strawberry jam, and plum jam.<br \/>\nSo, the answer is the peach jam.<\/p>\n<p>Question 4.<br \/>\nMs. Gordon has many snack bar recipes. One recipe uses \\(\\frac{1}{3}\\) cup oatmeal, \\(\\frac{1}{4}\\) vcup of milk, and \\(\\frac{1}{2}\\) cup flour. Which ingredient will Ms. Gordon use the most of?<br \/>\n___________<\/p>\n<p>Answer: flour<\/p>\n<p>\\(\\frac{1}{2}\\) &gt; \\(\\frac{1}{3}\\) and \\(\\frac{1}{4}\\)<br \/>\nSo, by comparing fractions we can say that Ms. Gordon use the most of flour for snack bar recipes.<\/p>\n<p>Question 5.<br \/>\nRick lives \\(\\frac{4}{6}\\) mile from school. Noah lives \\(\\frac{3}{6}\\) mile from school. Use the fractions and symbols to show which distance is longer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-2.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions img 2\" width=\"226\" height=\"52\" \/><br \/>\n\\(\\frac{4}{6}\\) _____ \\(\\frac{3}{6}\\)<\/p>\n<p>Answer: \\(\\frac{4}{6}\\) &gt; \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>First of all, compare the denominators. If the denominators are the same then check the numerators.<br \/>\nHere 4 is greater than 3. So, \\(\\frac{4}{6}\\) &gt; \\(\\frac{3}{6}\\)<\/p>\n<h3><a id=\"Problem_Solving_Compare_Fractions_Page_No_511\"><\/a>Problem Solving Compare Fractions &#8211; Page No. 511<\/h3>\n<p><strong>Solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nLuis skates \\(\\frac{2}{3}\\) mile from his home to school. Isabella skates \\(\\frac{2}{4}\\) mile to get to school. Who skates farther?<br \/>\nThink: Use fraction strips to act it out.<br \/>\n<span style=\"text-decoration: underline;\">Luis<\/span><\/p>\n<p>Answer: Luis<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nLuis skates \\(\\frac{2}{3}\\) mile from his home to school.<br \/>\nIsabella skates \\(\\frac{2}{4}\\) mile to get to school.<br \/>\nTo find Who stakes farther we have to compare the fractions.<br \/>\n\\(\\frac{2}{3}\\), \\(\\frac{2}{4}\\)<br \/>\nThe numerator of both the fractions is the same and the denominators are different.<br \/>\nSo, first, make the denominators equal.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{4}{4}\\) = \\(\\frac{8}{12}\\)<br \/>\n\\(\\frac{2}{4}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{6}{12}\\)<br \/>\nNow denominators are same.<br \/>\nCompare fractions \\(\\frac{8}{12}\\) and \\(\\frac{6}{12}\\)<br \/>\n8 is greater than 6. So, \\(\\frac{8}{12}\\) &gt; \\(\\frac{6}{12}\\)<br \/>\nTherefore Luis Skates farther to school.<\/p>\n<p>Question 2.<br \/>\nSandra makes a pizza. She puts mushrooms on \\(\\frac{2}{8}\\) of the pizza. She adds green peppers to \\(\\frac{5}{8}\\) of the pizza. Which topping covers more of the pizza?<br \/>\n___________<\/p>\n<p>Answer: Green Peppers<\/p>\n<p>Explanation:<\/p>\n<p>Sandra makes a pizza. She puts mushrooms on \\(\\frac{2}{8}\\) of the pizza.<br \/>\nShe adds green peppers to \\(\\frac{5}{8}\\) of the pizza.<br \/>\nCompare the fractions of mushrooms and green peppers.<br \/>\n\\(\\frac{2}{8}\\), \\(\\frac{5}{8}\\)<br \/>\nThe denominators are the same. So compare the numerators.<br \/>\n2 is lesser than 5. Thus \\(\\frac{2}{8}\\) &lt; \\(\\frac{5}{8}\\)<br \/>\nThus Green Peppers covers more of the pizza.<\/p>\n<p>Question 3.<br \/>\nThe jars of paint in the art room have different amounts of paint. The green paint jar is \\(\\frac{4}{8}\\) full. The purple paint jar is \\(\\frac{4}{6}\\) full. Which paint jar is less full?<br \/>\nThe _______ paint jar<\/p>\n<p>Answer: The green paint jar<\/p>\n<p>Explanation:<\/p>\n<p>The jars of paint in the art room have different amounts of paint.<br \/>\nThe green paint jar is \\(\\frac{4}{8}\\) full.<br \/>\nThe purple paint jar is \\(\\frac{4}{6}\\) full.<br \/>\nThe numerators of both the fractions are the same.<br \/>\nCompare the denominators of green paint and purple paint jars.<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\nTherefore \\(\\frac{4}{8}\\) &lt; \\(\\frac{4}{6}\\)<br \/>\nThus green paint jar is less full.<\/p>\n<p>Question 4.<br \/>\nJan has a recipe for bread. She uses \\(\\frac{2}{3}\\) cup of flour and \\(\\frac{1}{3}\\) cup of chopped onion. Which ingredient does she use more of, flour or onion?<br \/>\n_______<\/p>\n<p>Answer: Flour<\/p>\n<p>Explanation:<\/p>\n<p>Jan has a recipe for bread. She uses \\(\\frac{2}{3}\\) cup of flour and \\(\\frac{1}{3}\\) cup of chopped onion.<br \/>\nCompare the fraction of flour and onion.<br \/>\nThe denominators of both the fractions are the same. So, compare the numerators.<br \/>\n2 is greater than 1. Thus \\(\\frac{2}{3}\\) &gt; \\(\\frac{1}{3}\\)<br \/>\nThat means Jan used more flour for bread.<\/p>\n<p>Question 5.<br \/>\nEdward walked \\(\\frac{3}{4}\\) mile from his home to the park. Then he walked \\(\\frac{2}{4}\\) mile from the park to the library. Which distance is shorter?<br \/>\n_______<\/p>\n<p>Answer: \\(\\frac{2}{4}\\) mile<\/p>\n<p>Explanation:<\/p>\n<p>Edward walked \\(\\frac{3}{4}\\) mile from his home to the park.<br \/>\nThen he walked \\(\\frac{2}{4}\\) mile from the park to the library.<br \/>\nTo find the shorter distance we have to compare the fractions of Edward from home to park and from park to library.<br \/>\n\\(\\frac{3}{4}\\), \\(\\frac{2}{4}\\)<br \/>\nThe denominators of both the fractions are the same.<br \/>\nSo compare the numerators.<br \/>\n3 is greater than 2. Thus \\(\\frac{3}{4}\\) &gt; \\(\\frac{2}{4}\\)<br \/>\nThus the distance from the park to the library is shorter.<\/p>\n<h3><a id=\"Problem_Solving_Compare_Fractions_Lesson _Check_Page_No_512\"><\/a>Problem Solving Compare Fractions &#8211; Page No. 512<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nAli and Jonah collect seashells in identical buckets. When they are finished, Ali\u2019s bucket is \\(\\frac{2}{6}\\) full and Jonah\u2019s bucket is \\(\\frac{3}{6}\\) full. Which of the following correctly compares the fractions?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{6}\\) = \\(\\frac{3}{6}\\)<br \/>\nb. \\(\\frac{2}{6}\\) &gt; \\(\\frac{3}{6}\\)<br \/>\nc. \\(\\frac{3}{6}\\) &lt; \\(\\frac{2}{6}\\)<br \/>\nd. \\(\\frac{3}{6}\\) &gt; \\(\\frac{2}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{6}\\) &gt; \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Ali and Jonah collect seashells in identical buckets.<br \/>\nWhen they are finished, Ali\u2019s bucket is \\(\\frac{2}{6}\\) full and Jonah\u2019s bucket is \\(\\frac{3}{6}\\) full<br \/>\nCompare fractions \\(\\frac{2}{6}\\) and \\(\\frac{3}{6}\\)<br \/>\nWe observe that the denominators are the same. So, compare the numerators of both the fractions.<br \/>\n3 is greater than 2.<br \/>\nThus \\(\\frac{3}{6}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\nSo, the correct answer is option D.<\/p>\n<p>Question 2.<br \/>\nRosa paints a wall in her bedroom. She puts green paint on \\(\\frac{5}{8}\\) of the wall and blue paint on \\(\\frac{3}{8}\\) of the wall. Which of the following correctly compares the fractions?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}\\) &gt; \\(\\frac{3}{8}\\)<br \/>\nb. \\(\\frac{5}{8}\\) &lt; \\(\\frac{3}{8}\\)<br \/>\nc. \\(\\frac{3}{8}\\) &gt; \\(\\frac{5}{8}\\)<br \/>\nd. \\(\\frac{3}{8}\\) = \\(\\frac{5}{8}\\)<\/p>\n<p>Answer: \\(\\frac{5}{8}\\) &gt; \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given:<br \/>\nRosa paints a wall in her bedroom.<br \/>\nShe puts green paint on \\(\\frac{5}{8}\\) of the wall and blue paint on \\(\\frac{3}{8}\\) of the wall.<br \/>\nThe denominators are same so compare the numerators of both the fractions.<br \/>\n5 is greater than 3. So, \\(\\frac{5}{8}\\) &gt; \\(\\frac{3}{8}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nDan divides a pie into eighths. How many equal parts are there?<br \/>\nOptions:<br \/>\na. 3<br \/>\nb. 6<br \/>\nc. 8<br \/>\nd. 10<\/p>\n<p>Answer: 8<\/p>\n<p>Dan divides a pie into eighths.<br \/>\nEighths are nothing but the name of the parts. Eighths is equal to 8.<br \/>\nSo, the correct answer is option C.<\/p>\n<p>Question 4.<br \/>\nWhich shows equal parts?<br \/>\na. <img decoding=\"async\" loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-3.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 3\" width=\"123\" height=\"54\" \/><br \/>\nb. <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-4.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 4\" width=\"78\" height=\"82\" \/><br \/>\nc. <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-5.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 5\" width=\"84\" height=\"80\" \/><br \/>\nd. <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-6.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 6\" width=\"123\" height=\"53\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-4.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 4\" width=\"78\" height=\"82\" \/><\/p>\n<p>Explanation:<\/p>\n<p>Among all the figures circle is equally divided into 6 parts.<br \/>\nSo, the answer is option B.<\/p>\n<p>Question 5.<br \/>\nCharles places 30 pictures on his bulletin board in 6 equal rows. How many pictures are in each row?<br \/>\nOptions:<br \/>\na. 3<br \/>\nb. 4<br \/>\nc. 5<br \/>\nd. 6<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<\/p>\n<p>Given, Charles places 30 pictures on his bulletin board in 6 equal rows.<br \/>\nNumber of pictures in each row = x<br \/>\nx \u00d7 6 = 30<br \/>\nx = 30\/6 = 5<br \/>\nTherefore there are 5 pictures in each row.<\/p>\n<p>Question 6.<br \/>\nWhich of the following describes a pattern in the table?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-7.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Problem Solving Compare Fractions img 7\" width=\"297\" height=\"87\" \/><br \/>\nOptions:<br \/>\na. Add 1.<br \/>\nb. Add 4.<br \/>\nc. Multiply by 2.<br \/>\nd. Multiply by 5.<\/p>\n<p>Answer: Multiply by 5<\/p>\n<p>Explanation:<\/p>\n<p>The above table shows that number of tables is multiplied by 5.<br \/>\nSo, the correct answer is option D.<\/p>\n<h3><a id=\"Compare_Fractions_with_the_Same_Denominator_Page_No_517\"><\/a>Compare Fractions with the Same Denominator &#8211; Page No. 517<\/h3>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-8.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions with the Same Denominator img 8\" width=\"83\" height=\"50\" \/><\/p>\n<p>Answer: \\(\\frac{3}{4}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators of the two fractions are the same.<br \/>\nHere the denominators of \\(\\frac{3}{4}\\) and \\(\\frac{1}{4}\\) are same. So compare the numerators.<br \/>\n3 is greater than 1.<br \/>\nTherefore, \\(\\frac{3}{4}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{6}\\) ______ \\(\\frac{0}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{6}\\) &gt; \\(\\frac{0}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>First, check whether the denominators of the two fractions are the same or not.<br \/>\nAfter that compare the numerators.<br \/>\n3 &gt; 0<br \/>\nSo, \\(\\frac{3}{6}\\) &gt; \\(\\frac{0}{6}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{2}\\) ______ \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>First, compare fractions with the same denominators.<br \/>\nIf both are the same, then compare the numerators of both fractions.<br \/>\nThe denominators and numerators are same for \\(\\frac{1}{2}\\)<br \/>\nThus \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{5}{6}\\) ______ \\(\\frac{6}{6}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the denominators of the fractions<br \/>\nThe denominators of \\(\\frac{5}{6}\\) and \\(\\frac{6}{6}\\)<br \/>\nNow compare the numerators of the fractions.<br \/>\n5 &lt; 6<br \/>\nSo, \\(\\frac{5}{6}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{7}{8}\\) ______ \\(\\frac{5}{8}\\)<\/p>\n<p>Answer: \\(\\frac{7}{8}\\) &gt; \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are the same or not.<br \/>\nThe denominator of \\(\\frac{7}{8}\\) and \\(\\frac{5}{8}\\) are same.<br \/>\nNow check the numerators 7 &gt; 5.<br \/>\nThus \\(\\frac{7}{8}\\) &gt; \\(\\frac{5}{8}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the denominators of 2 fractions.<br \/>\nHere numerators and denominators are the same.<br \/>\nSo, \\(\\frac{2}{3}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{8}{8}\\) ______ \\(\\frac{0}{8}\\)<\/p>\n<p>Answer: \\(\\frac{8}{8}\\) &gt; \\(\\frac{0}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are the same. Now compare the numerators of two fractions.<br \/>\n8 &gt; 0.<br \/>\nSo, \\(\\frac{8}{8}\\) &gt; \\(\\frac{0}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{1}{6}\\) ______ \\(\\frac{1}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\) = \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When the denominators are the same, the whole is divided into the same size pieces. Now compare the numerators of both the fractions.<br \/>\n\\(\\frac{1}{6}\\) = \\(\\frac{1}{6}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are the same. If same that means the whole is divided into the same size pieces.<br \/>\nThe denominators of \\(\\frac{3}{4}\\) and \\(\\frac{2}{4}\\)<br \/>\nNow compare the numerators of both fractions.<br \/>\n3 is greater than 2.<br \/>\nThus \\(\\frac{3}{4}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{1}{6}\\) ______ \\(\\frac{2}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\) &lt; \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are the same. If same that means the whole is divided into the same size pieces.<br \/>\nThe denominators of \\(\\frac{1}{6}\\) and \\(\\frac{2}{6}\\)<br \/>\nNow check the numerators 1 is less than 2.<br \/>\nTherefore, \\(\\frac{1}{6}\\) &lt; \\(\\frac{2}{6}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{1}{2}\\) ______ \\(\\frac{0}{2}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) &gt; \\(\\frac{0}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When the denominators are same, the whole is divided into the same pieces. Now check the numerators.<br \/>\n1 is greater than 0<br \/>\nThus \\(\\frac{1}{2}\\) &gt; \\(\\frac{0}{2}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{3}{8}\\) ______ \\(\\frac{3}{8}\\)<\/p>\n<p>Answer: \\(\\frac{3}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check the denominators of two fractions. If both are equal then compare the numerators.<br \/>\nThe numerators of both fractions are equal.<br \/>\nSo, \\(\\frac{3}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{1}{4}\\) ______ \\(\\frac{4}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{4}\\) &lt; \\(\\frac{4}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare fractions with the same denominators.<br \/>\nThe denominators of \\(\\frac{1}{4}\\) and \\(\\frac{4}{4}\\) are same.<br \/>\nCompare numerators 1 and 4.<br \/>\n1 is less than 4.<br \/>\nThus \\(\\frac{1}{4}\\) &lt; \\(\\frac{4}{4}\\)<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{5}{8}\\) ______ \\(\\frac{4}{8}\\)<\/p>\n<p>Answer: \\(\\frac{5}{8}\\) &gt; \\(\\frac{4}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are the same or not.<br \/>\nNow compare the numerators.<br \/>\n5 is greater than 4.<br \/>\n\\(\\frac{5}{8}\\) &gt; \\(\\frac{4}{8}\\)<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{4}{6}\\) ______ \\(\\frac{6}{6}\\)<\/p>\n<p>Answer: \\(\\frac{4}{6}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators of both the fractions are the same or not.<br \/>\nThe denominators of \\(\\frac{4}{6}\\) and \\(\\frac{6}{6}\\) are the same.<br \/>\nNow compare the numerators 4 and 6.<br \/>\n4 is lesser than 6. So, \\(\\frac{4}{6}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 16.<br \/>\nBen mowed \\(\\frac{5}{6}\\) of his lawn in one hour. John mowed \\(\\frac{4}{6}\\) of his lawn in one hour. Who mowed less of his lawn in one hour?<br \/>\n___________<\/p>\n<p>Answer: John<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nBen mowed \\(\\frac{5}{6}\\) of his lawn in one hour.<br \/>\nJohn mowed \\(\\frac{4}{6}\\) of his lawn in one hour.<br \/>\nCompare the denominators of both the fractions.<br \/>\nAs the denominators are the same compare the numerators of the fractions.<br \/>\n4 is less than 5.<br \/>\n\\(\\frac{4}{6}\\) &lt; \\(\\frac{5}{6}\\)<br \/>\nSo, John mowed less of his lawn in one hour.<\/p>\n<p>Question 17.<br \/>\nDarcy baked 8 muffins. She put blueberries in \\(\\frac{5}{8}\\) of the muffins. She put raspberries in \\(\\frac{3}{8}\\) of the muffins. Did more muffins have blueberries or raspberries?<br \/>\n___________<\/p>\n<p>Answer: Blueberries<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nDarcy baked 8 muffins.<br \/>\nShe put blueberries in \\(\\frac{5}{8}\\) of the muffins.<br \/>\nShe put raspberries in \\(\\frac{3}{8}\\) of the muffins.<br \/>\n\\(\\frac{5}{8}\\) is greater than \\(\\frac{3}{8}\\)<br \/>\nThus there are more blueberries in muffins.<\/p>\n<h3><a id=\"Compare_Fractions_with_the_Same_Denominator_Lesson _Check_Page_No_518\"><\/a>Compare Fractions with the Same Denominator &#8211; Page No. 518<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nJulia paints \\(\\frac{2}{6}\\) of a wall in her room white. She paints more of the wall green. Which fraction could show the part of the wall that is green?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{6}\\)<br \/>\nb. \\(\\frac{2}{6}\\)<br \/>\nc. \\(\\frac{3}{6}\\)<br \/>\nd. \\(\\frac{0}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>First compare the denominators of given options and then compare the numerators<br \/>\nA. \\(\\frac{3}{6}\\) &lt; \\(\\frac{2}{6}\\)<br \/>\nB. \\(\\frac{2}{6}\\) = \\(\\frac{2}{6}\\)<br \/>\nC. \\(\\frac{3}{6}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\nD. \\(\\frac{0}{6}\\) &lt; \\(\\frac{2}{6}\\)<br \/>\nSo, the answer is option C.<\/p>\n<p>Question 2.<br \/>\nLiam is comparing fraction circles. Which of the following statements is true?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<br \/>\nb. \\(\\frac{3}{4}\\) &gt; \\(\\frac{4}{4}\\)<br \/>\nc. \\(\\frac{4}{6}\\) &lt; \\(\\frac{3}{6}\\)<br \/>\nd. \\(\\frac{2}{8}\\) = \\(\\frac{3}{8}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Check whether the denominators are same. If both are same then compare the numerators.<br \/>\n\\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<br \/>\nOption A is the correct answer.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nMr. Edwards buys 2 new knobs for each of his kitchen cabinets. The kitchen has 9 cabinets. How many knobs does he buy?<br \/>\nOptions:<br \/>\na. 20<br \/>\nb. 18<br \/>\nc. 16<br \/>\nd. 12<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<\/p>\n<p>Given, Mr. Edwards buys 2 new knobs for each of his kitchen cabinets.<br \/>\nThe kitchen has 9 cabinets.<br \/>\nNumber of knobs he buys = x<br \/>\nx = 9 \u00d7 2 = 18<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 4.<br \/>\nAllie builds a new bookcase with 8 shelves. She can put 30 books on each shelf. How many books can the bookcase hold?<br \/>\nOptions:<br \/>\na. 30<br \/>\nb. 38<br \/>\nc. 240<br \/>\nd. 300<\/p>\n<p>Answer: 240<\/p>\n<p>Explanation:<\/p>\n<p>Given that Allie builds a new bookcase with 8 shelves.<br \/>\nShe can put 30 books on each shelf.<br \/>\nLet the number of books can the bookcase hold = y<br \/>\ny = 30 \u00d7 8<br \/>\ny = 240<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 5.<br \/>\nThe Good Morning Caf\u00e9 has 28 customers for breakfast. There are 4 people sitting at each table. How many tables are filled?<br \/>\nOptions:<br \/>\na. 8<br \/>\nb. 7<br \/>\nc. 6<br \/>\nd. 4<\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<\/p>\n<p>The Good Morning Caf\u00e9 has 28 customers for breakfast.<br \/>\nThere are 4 people sitting at each table.<br \/>\nNumber of tables be t<br \/>\nt \u00d74 = 28<br \/>\nt = 28\/4 = 4<br \/>\nThus the number of tables filled = 7<\/p>\n<p>Question 6.<br \/>\nElla wants to use the Commutative Property of Multiplication to help find the product 5 \u00d7 4. Which number sentence can she use?<br \/>\nOptions:<br \/>\na. 5 + 4 = 10<br \/>\nb. 5 \u00d7 5 = 25<br \/>\nc. 5 \u2212 4 = 1<br \/>\nd. 4 \u00d7 5 = 20<\/p>\n<p>Answer: 4 \u00d7 5 = 20<\/p>\n<p>Explanation:<\/p>\n<p>According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product.<br \/>\na \u00d7 b = b \u00d7 a<br \/>\n5 \u00d7 4 = 4 \u00d7 5 = 20<br \/>\nSo, the correct answer is option D.<\/p>\n<h3><a id=\"Compare_Fractions_with_the_Same_Numerator_Page_No_523\"><\/a>Compare Fractions with the Same Numerator &#8211; Page No. 523<\/h3>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-9.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions with the Same Numerator img 9\" width=\"246\" height=\"196\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{8}\\) ______ \\(\\frac{3}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{8}\\) &lt; \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When comparing fractions with the same numerator, the fraction with the smaller denominator is greater.<br \/>\nSo, \\(\\frac{3}{8}\\) &lt; \\(\\frac{3}{6}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{2}{4}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{2}{3}\\) and \\(\\frac{2}{4}\\)<br \/>\nThe numerators of both the fractions are the same. So compare the denominators.<br \/>\nThe fraction with the smaller denominator is greater<br \/>\nSo, \\(\\frac{2}{3}\\) &gt; \\(\\frac{2}{4}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{2}{8}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{2}{8}\\) &lt; \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare \\(\\frac{2}{8}\\) and \\(\\frac{2}{3}\\)<br \/>\nWhen comparing fractions with the same numerator, the fraction with the smaller denominator is greater.<br \/>\n\\(\\frac{2}{8}\\) &lt; \\(\\frac{2}{3}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{6}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{3}{6}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{3}{6}\\) and \\(\\frac{3}{4}\\)<br \/>\nThe numerators are the same and the denominators are different.<br \/>\nThe number with the smallest number will be the greatest.<br \/>\nSo, \\(\\frac{3}{6}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{2}\\) ______ \\(\\frac{1}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) &gt; \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When comparing fractions with the same numerator, the fraction with the smaller denominator is greater.<br \/>\n2 is greater than 6.<br \/>\n\\(\\frac{1}{2}\\) &gt; \\(\\frac{1}{6}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{5}{6}\\) ______ \\(\\frac{5}{8}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\) &gt; \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>We observe that numerators are the same and the denominators are different.<br \/>\nThe fraction with the smallest number will be the greatest.<br \/>\nSo, \\(\\frac{5}{6}\\) &gt; \\(\\frac{5}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{4}{8}\\) ______ \\(\\frac{4}{8}\\)<\/p>\n<p>Answer: \\(\\frac{4}{8}\\) = \\(\\frac{4}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The numerators and denominators of both the fractions are the same.<br \/>\nSo, \\(\\frac{4}{8}\\) = \\(\\frac{4}{8}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{8}\\) ______ \\(\\frac{6}{6}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{6}{8}\\) and \\(\\frac{6}{6}\\)<br \/>\nWe observe that numerators are the same and the denominators are different.<br \/>\nSo, \\(\\frac{6}{8}\\) &lt; \\(\\frac{6}{6}\\)<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nJavier is buying food in the lunch line. The tray of salad plates is \\(\\frac{3}{8}\\) full. The tray of fruit plates is \\(\\frac{3}{4}\\) full. Which tray is more full?<br \/>\nThe tray of ______ plates<\/p>\n<p>Answer: The fruit plate tray<\/p>\n<p>Explanation:<\/p>\n<p>Javier is buying food in the lunch line. The tray of salad plates is \\(\\frac{3}{8}\\) full.<br \/>\nThe tray of fruit plates is \\(\\frac{3}{4}\\) full.<br \/>\nCompare the fraction of salad plates and fruit plates.<br \/>\n\\(\\frac{3}{8}\\) and \\(\\frac{3}{4}\\)<br \/>\nThe numerators are same. So compare the denominators.<br \/>\nSo, \\(\\frac{3}{8}\\) &lt;\\(\\frac{3}{4}\\)<br \/>\nThus the fruit plate tray is more full than salad plate tray.<\/p>\n<p>Question 11.<br \/>\nRachel bought some buttons. Of the buttons, \\(\\frac{2}{4}\\) are yellow and \\(\\frac{2}{8}\\) are red. Rachel bought more of which color buttons?<br \/>\nMore _______ buttons<\/p>\n<p>Answer: Yellow<\/p>\n<p>Explanation:<\/p>\n<p>Rachel bought some buttons. Of the buttons, \\(\\frac{2}{4}\\) are yellow and \\(\\frac{2}{8}\\) are red.<br \/>\nCompare \\(\\frac{2}{4}\\) and \\(\\frac{2}{8}\\)<br \/>\nThe fraction with the smaller denominator is greater.<br \/>\n\\(\\frac{2}{4}\\) &gt;\\(\\frac{2}{8}\\)<br \/>\nTherefore there are more yellow buttons.<\/p>\n<h3><a id=\"Compare_Fractions_with_the_Same_Numerator_Lesson _Check_Page_No_524\"><\/a>Compare Fractions with the Same Numerator &#8211; Page No. 524<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich symbol makes the statement true?<br \/>\n\\(\\frac{3}{4}\\) O \\(\\frac{3}{8}\\)<br \/>\na. &gt;<br \/>\nb. &lt;<br \/>\nc. =<br \/>\nd. none<\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<\/p>\n<p>In the above statement, the fractions are of the same numerators. So, we need to check the denominators.<br \/>\nThe number with the highest number will be the least fraction.<br \/>\nSo, \\(\\frac{3}{4}\\) &gt; \\(\\frac{3}{8}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 2.<br \/>\nWhich symbol makes the statement true?<br \/>\n\\(\\frac{2}{4}\\) O \\(\\frac{2}{3}\\)<br \/>\na. &gt;<br \/>\nb. &lt;<br \/>\nc. =<br \/>\nd. none<\/p>\n<p>Answer: &lt;<\/p>\n<p>Explanation:<\/p>\n<p>The fractions are of the same numerators. So, we need to see the denominators.<br \/>\nThe number with the highest number will be the least fraction.<br \/>\nSo, \\(\\frac{2}{4}\\) &lt; \\(\\frac{2}{3}\\)<br \/>\nSo, the correct answer is option B.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nAnita divided a circle into 6 equal parts and shaded 1 of the parts. Which fraction names the part she shaded?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{6}\\)<br \/>\nb. \\(\\frac{1}{5}\\)<br \/>\nc. \\(\\frac{5}{6}\\)<br \/>\nd. \\(\\frac{1}{1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Anita divided a circle into 6 equal parts and shaded 1 of the parts.<br \/>\nSo, the fraction of the shaded part is \\(\\frac{1}{6}\\)<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 4.<br \/>\nWhich fraction names the shaded part of the rectangle?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-10.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions with the Same Numerator img 10\" width=\"194\" height=\"85\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{8}\\)<br \/>\nb. \\(\\frac{2}{8}\\)<br \/>\nc. \\(\\frac{6}{8}\\)<br \/>\nd. \\(\\frac{8}{8}\\)<\/p>\n<p>Answer: \\(\\frac{2}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The rectangle is divided into 8 equal parts. Out of 8 two parts are shaded.<br \/>\nSo, the fraction name of the shaded part is \\(\\frac{2}{8}\\)<br \/>\nThe correct answer is option B.<\/p>\n<p>Question 5.<br \/>\nChip worked at the animal shelter for 6 hours each week for several weeks. He worked for a total of 42 hours. Which of the following can be used to find the number of weeks Chip worked at the animal shelter?<br \/>\nOptions:<br \/>\na. 6 + 42<br \/>\nb. 42 \u2212 6<br \/>\nc. 42 \u00f7 6<br \/>\nd. 42 \u00d7 6<\/p>\n<p>Answer: 42 \u00f7 6<\/p>\n<p>Explanation:<\/p>\n<p>Chip worked at the animal shelter for 6 hours each week for several weeks.<br \/>\nNumber of hours he worked = 42 hours<br \/>\nNumber of weeks he worked at the animal shelter = x<br \/>\nx \u00d7 6 = 42<br \/>\nx = 42 \u00f7 6<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 6.<br \/>\nMr. Jackson has 20 quarters. If he gives 4 quarters to each of his children, how many children does Mr. Jackson have?<br \/>\nOptions:<br \/>\na. 3<br \/>\nb. 4<br \/>\nc. 5<br \/>\nd. 6<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<\/p>\n<p>Given, Mr. Jackson has 20 quarters.<br \/>\nIf he gives 4 quarters to each of his children<br \/>\nNumber of children Mr. Jackson have = y<br \/>\ny \u00d7 4 = 20<br \/>\ny = 20\/4 = 5<br \/>\nTherefore, Mr. Jackson has 5 children.<\/p>\n<h3><a id=\"Compare_Fractions_Page_No_529\"><\/a>Compare Fractions &#8211; Page No. 529<\/h3>\n<p><strong>Compare. Write &lt;, &gt;, or =. Write the strategy you used.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-11.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions img 11\" width=\"228\" height=\"265\" \/><\/p>\n<p>Answer: Same Numerator<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{3}\\) ______ \\(\\frac{7}{8}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p>Missing pieces<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{2}{3}\\), \\(\\frac{7}{8}\\)<br \/>\nThe numerators and denominators are different here.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{16}{24}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{21}{24}\\)<br \/>\n16 is less than 24.<br \/>\nSo, \\(\\frac{16}{24}\\) &lt; \\(\\frac{21}{24}\\)<br \/>\nThat means \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The Denominator is the same here. So compare the numerators.<br \/>\n\\(\\frac{3}{4}\\), \\(\\frac{1}{4}\\)<br \/>\n3 is greater than 1.<br \/>\nThus \\(\\frac{3}{4}\\) &gt; \\(\\frac{1}{4}\\)<\/p>\n<p>Name a fraction that is less than or greater than the given fraction. Draw to justify your answer.<\/p>\n<p>Question 4.<br \/>\ngreater than \\(\\frac{1}{3}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3093\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Chapter-9-Answer-Key-Grade-3-Compare-fractions-image_5-300x67.jpg\" alt=\"Go Math Chapter 9 Answer Key Grade 3 Compare fractions image_5\" width=\"300\" height=\"67\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Chapter-9-Answer-Key-Grade-3-Compare-fractions-image_5-300x67.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Chapter-9-Answer-Key-Grade-3-Compare-fractions-image_5.jpg 497w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\\(\\frac{2}{3}\\) is greater than \\(\\frac{1}{3}\\)<\/p>\n<p>Question 5.<br \/>\nless than \\(\\frac{3}{4}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3094\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Solution-Key-Grade-3-Chapter-9-solution-image_6-300x76.jpg\" alt=\"Go Math Solution Key Grade 3 Chapter 9 solution image_6\" width=\"300\" height=\"76\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Solution-Key-Grade-3-Chapter-9-solution-image_6-300x76.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Solution-Key-Grade-3-Chapter-9-solution-image_6.jpg 484w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\\(\\frac{2}{4}\\) is less than \\(\\frac{3}{4}\\)<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 6.<br \/>\nAt the third-grade party, two groups each had their own pizza. The blue group ate \\(\\frac{7}{8}\\) pizza. The green group ate \\(\\frac{2}{8}\\) pizza. Which group ate more of their pizza?<br \/>\nThe _______ group<\/p>\n<p>Answer: The blue group<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nAt the third-grade party, two groups each had their own pizza.<br \/>\nThe blue group ate \\(\\frac{7}{8}\\) pizza.<br \/>\nThe green group ate \\(\\frac{2}{8}\\) pizza.<br \/>\nCompare the fractions of the blue group and green group.<br \/>\n\\(\\frac{7}{8}\\) and \\(\\frac{2}{8}\\)<br \/>\nThe denominators are the same here. So compare the numerators.<br \/>\nThe numerator with the greatest number will be the greatest fraction.<br \/>\nTherefore \\(\\frac{7}{8}\\) &gt; \\(\\frac{2}{8}\\)<br \/>\nSo, the blue group ate more pizza.<\/p>\n<p>Question 7.<br \/>\nBen and Antonio both take the same bus to school. Ben\u2019s ride is \\(\\frac{7}{8}\\) mile. Antonio\u2019s ride is \\(\\frac{3}{4}\\) mile. Who has a longer bus ride?<br \/>\n___________<\/p>\n<p>Answer: Ben<\/p>\n<p>Explanation:<\/p>\n<p>Ben and Antonio both take the same bus to school.<br \/>\nBen\u2019s ride is \\(\\frac{7}{8}\\) mile.<br \/>\nAntonio\u2019s ride is \\(\\frac{3}{4}\\) mile.<br \/>\nCompare the fractions \\(\\frac{7}{8}\\), \\(\\frac{3}{4}\\)<br \/>\nMake the denominators equal to compare the fractions.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{24}{32}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{4}{4}\\) = \\(\\frac{28}{32}\\)<br \/>\n\\(\\frac{28}{32}\\) &gt; \\(\\frac{24}{32}\\)<br \/>\n\\(\\frac{7}{8}\\) &gt; \\(\\frac{3}{4}\\)<br \/>\nThus Ben has longer bus ride.<\/p>\n<h3><a id=\"Compare_Fractions_Lesson _Check_Page_No_530\"><\/a>Compare Fractions &#8211; Page No. 530<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich statement is correct?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3}\\) &gt; \\(\\frac{7}{8}\\)<br \/>\nb. \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<br \/>\nc. \\(\\frac{2}{3}\\) = \\(\\frac{7}{8}\\)<br \/>\nd. \\(\\frac{7}{8}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>A. \\(\\frac{2}{3}\\) &gt; \\(\\frac{7}{8}\\)<br \/>\nHere the numerator of one fraction is greater than the numerator of the other fraction.<br \/>\nSo, \\(\\frac{2}{3}\\) is not greater than \\(\\frac{7}{8}\\)<br \/>\nB. \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<br \/>\nHere the numerator of one fraction is greater than the numerator of the other fraction.<br \/>\n2 is less than 7.<br \/>\nThus the statement \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\) is true.<br \/>\nOption B is the answer.<\/p>\n<p>Question 2.<br \/>\nWhich symbol makes the statement true?<br \/>\n\\(\\frac{2}{4}\\) O \\(\\frac{2}{6}\\)<br \/>\na. &gt;<br \/>\nb. &lt;<br \/>\nc. =<br \/>\nd. none<\/p>\n<p>Answer: &gt;<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{2}{4}\\) &amp; \\(\\frac{2}{6}\\)<br \/>\nThe numerator of both the fractions are the same.<br \/>\nSo we need to compare the denominators.<br \/>\nThe denominator with the greater number will the smallest fraction.<br \/>\nTherefore, \\(\\frac{2}{4}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\nThe correct answer is option A.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nCam, Stella, and Rose each picked 40 apples. They put all their apples in one crate. How many apples are in the crate?<br \/>\nOptions:<br \/>\na. 40<br \/>\nb. 43<br \/>\nc. 120<br \/>\nd. 123<\/p>\n<p>Answer: 120<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Cam, Stella, and Rose each picked 40 apples.<br \/>\nThey put all their apples in one crate.<br \/>\nThat means each person picked 40 apples = 40 + 40 + 40 = 120 apples<br \/>\nTherefore there are 120 apples in the crate.<br \/>\nThe correct answer is option C.<\/p>\n<p>Question 4.<br \/>\nEach shape is 1 whole. Which fraction is represented by the shaded part of the model?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-12.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare Fractions img 12\" width=\"176\" height=\"86\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{2}{4}\\)<br \/>\nb. \\(\\frac{4}{4}\\)<br \/>\nc. \\(\\frac{8}{4}\\)<br \/>\nd. \\(\\frac{8}{1}\\)<\/p>\n<p>Answer: \\(\\frac{8}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>From the figure we observe that there are 2 squares.<br \/>\nEach square is divided into 4 equal parts.<br \/>\nTotal number of shaded parts = 4<br \/>\nSo, the fraction of 1 whole shaded part is \\(\\frac{8}{4}\\)<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 5.<br \/>\nWhich related multiplication fact can you use to find<br \/>\n16 \u00f7 \u25a0 = 2?<br \/>\nOptions:<br \/>\na. 4 \u00d7 4 = 16<br \/>\nb. 8 \u00d7 2 = 16<br \/>\nc. 8 \u00d7 1 = 8<br \/>\nd. 4 \u00d7 2 = 8<\/p>\n<p>Answer: 8 \u00d7 2 = 16<\/p>\n<p>Explanation:<\/p>\n<p>16 \u00f7 \u25a0 = 2<br \/>\n\u25a0 = 16\/2 = 8<br \/>\nSo, the related multiplication fact of 16 \u00f7 \u25a0 = 2 is 8 \u00d7 2 = 16.<br \/>\nThe correct answer is option B.<\/p>\n<p>Question 6,<br \/>\nWhat is the unknown factor?<br \/>\n9 \u00d7 \u25a0 = 36<br \/>\nOptions:<br \/>\na. 7<br \/>\nb. 6<br \/>\nc. 4<br \/>\nd. 3<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<\/p>\n<p>\u25a0 is the unknown factor<br \/>\n9 \u00d7 \u25a0 = 36<br \/>\n\u25a0 = 36\/9 = 4<br \/>\nThus the correct answer is option C.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Page_No_531\"><\/a>Mid -Chapter Checkpoint &#8211; Page No. 531<\/h3>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p>Question 1.<br \/>\nWhen two fractions refer to the same whole, explain why the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.<br \/>\nExample: Let us consider an apple that is divided into equal parts.<br \/>\nIf the apple is divided among 2 people.<br \/>\nThen each get \\(\\frac{1}{2}\\) part of the apple.<br \/>\nIf the apple is divided among 4 people.<br \/>\nThen each get \\(\\frac{1}{4}\\) part of an apple.<br \/>\nHence, in the first case, people get more amount of apple than the second.<br \/>\nHence, if as a whole the denominator is less the fraction is greater.<\/p>\n<p>Question 2.<br \/>\nWhen two fractions refer to the same whole and have the same denominators, explain why you can compare only the numerators<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: If the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.<br \/>\nExample:<br \/>\nLet us consider a pizza which is cut into 4 parts.<br \/>\nOne person ate 3 pieces then the fraction is \\(\\frac{3}{4}\\)<br \/>\nAnd the other person ate 1 piece then the fraction is \\(\\frac{1}{4}\\)<br \/>\nNow compare the fractions \\(\\frac{1}{4}\\) and \\(\\frac{3}{4}\\)<br \/>\nFirst person ate 2 pieces more than the second person.<br \/>\nHence the fraction with the greater numerator is the greater fraction.<\/p>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{6}\\) ______ \\(\\frac{1}{4}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\) &lt; \\(\\frac{1}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{1}{6}\\), \\(\\frac{1}{4}\\)<br \/>\nIn this case the numerators are same and the denominators are different.<br \/>\nWe know that the two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.<br \/>\nSo, \\(\\frac{1}{6}\\) &lt; \\(\\frac{1}{4}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{8}\\) ______ \\(\\frac{1}{8}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\) = \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{1}{8}\\) &amp; \\(\\frac{1}{8}\\)<br \/>\nThe numerators and the denominators are same here. Thus these are the equivalent fractions.<br \/>\nHence, \\(\\frac{1}{8}\\) = \\(\\frac{1}{8}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{2}{8}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{2}{8}\\) &lt; \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{2}{8}\\) &amp; \\(\\frac{2}{3}\\)<br \/>\nThe numerators are same and denominators are different.<br \/>\nAs we know the denominators with the greatest number will be the smallest fraction.<br \/>\n\\(\\frac{2}{8}\\) &lt; \\(\\frac{2}{3}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{2}\\) ______ \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{4}{2}\\) &gt; \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare both the fractions \\(\\frac{4}{2}\\) and \\(\\frac{1}{2}\\)<br \/>\nIn this case, the denominators are the same but the numerators are different.<br \/>\nSo compare the numerators.<br \/>\n4 is greater than 1.<br \/>\nThus \\(\\frac{4}{2}\\) &gt; \\(\\frac{1}{2}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{8}\\) ______ \\(\\frac{3}{8}\\)<\/p>\n<p>Answer: \\(\\frac{7}{8}\\) &gt; \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Comparing the fractions \\(\\frac{7}{8}\\) and \\(\\frac{3}{8}\\)<br \/>\nThe denominators are same but the numerators are different.<br \/>\nWe know that the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.<br \/>\n7 is greater than 3.<br \/>\nSo, \\(\\frac{7}{8}\\) &gt; \\(\\frac{3}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{5}{6}\\) ______ \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{5}{6}\\) &gt; \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{5}{6}\\) and \\(\\frac{2}{3}\\)<br \/>\nIn this case the numerators and the denominators are different.<br \/>\nSo, we have to make the denominators equal.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{15}{18}\\)<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{6}{6}\\) = \\(\\frac{12}{18}\\)<br \/>\nNow the denominators are same. So compare the numerators 15 is greater than 12.<br \/>\nSo, \\(\\frac{15}{18}\\) &gt; \\(\\frac{12}{18}\\)<br \/>\nThat means \\(\\frac{5}{6}\\) &gt; \\(\\frac{2}{3}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{2}{4}\\) ______ \\(\\frac{3}{4}\\)<\/p>\n<p>Answer: \\(\\frac{2}{4}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The denominators are the same. So compare the fractions with the numerators.<br \/>\n2 is less than 3.<br \/>\nSo, \\(\\frac{2}{4}\\) &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{6}{6}\\) ______ \\(\\frac{6}{8}\\)<\/p>\n<p>Answer: \\(\\frac{6}{6}\\) &gt; \\(\\frac{6}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Here the numerators are same but the denominators are different.<br \/>\nWe know that denominators with the greatest number will be the smallest fraction.<br \/>\nTherefore, \\(\\frac{6}{6}\\) &gt; \\(\\frac{6}{8}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{3}{4}\\) ______ \\(\\frac{7}{8}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{3}{4}\\) and \\(\\frac{7}{8}\\)<br \/>\nThe numerators and denominators are different.<br \/>\nSo, we have to make the denominators equal.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{24}{32}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{4}{4}\\) = \\(\\frac{28}{32}\\)<br \/>\nNow the denominators are equal. So compare the numerators of both the fractions.<br \/>\n\\(\\frac{24}{32}\\) &lt; \\(\\frac{28}{32}\\)<br \/>\nTherefore \\(\\frac{3}{4}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p><strong>Name a fraction that is less than or greater than the given fraction. Draw to justify your answer.<\/strong><\/p>\n<p>Question 12.<br \/>\ngreater than \\(\\frac{2}{6}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{4}{6}\\)<br \/>\n\\(\\frac{4}{6}\\) &gt; \\(\\frac{2}{6}\\)<\/p>\n<p>Question 13.<br \/>\nless than \\(\\frac{2}{3}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{1}{3}\\)<br \/>\n\\(\\frac{1}{3}\\) &lt; \\(\\frac{2}{3}\\)<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Lesson _Check_Page_No_532\"><\/a>Mid -Chapter Checkpoint &#8211; Page No. 532<\/h3>\n<p>Question 14.<br \/>\nTwo walls in Tiffany&#8217;s room are the same size. Tiffany paints \\(\\frac{1}{4}\\) of one wall. Roberto paints \\(\\frac{1}{8}\\) of the other wall. Who painted a greater amount in Tiffany&#8217;s room?<br \/>\n___________<\/p>\n<p>Answer: Tiffany<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Two walls in Tiffany&#8217;s room are the same size. Tiffany paints \\(\\frac{1}{4}\\) of one wall.<br \/>\nRoberto paints \\(\\frac{1}{8}\\) of the other wall.<br \/>\nThe numerators are the same and the denominators are different here.<br \/>\nSo, we have to make the denominators same.<br \/>\n\\(\\frac{1}{4}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{8}{32}\\)<br \/>\n\\(\\frac{1}{8}\\) \u00d7 \\(\\frac{4}{4}\\) = \\(\\frac{4}{32}\\)<br \/>\nNow compare the fractions \\(\\frac{8}{32}\\) and \\(\\frac{4}{32}\\)<br \/>\n8 is greater than 4.<br \/>\n\\(\\frac{8}{32}\\) &gt; \\(\\frac{4}{32}\\)<br \/>\nTherefore, Tiffany painted greater amount than Roberto.<\/p>\n<p>Question 15.<br \/>\nMatthew ran \\(\\frac{5}{8}\\) mile during track practice. Pablo ran \\(\\frac{5}{6}\\) mile. Who ran farther?<br \/>\n___________<\/p>\n<p>Answer: Pablo<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nMatthew ran \\(\\frac{5}{8}\\) mile during track practice.<br \/>\nPablo ran \\(\\frac{5}{6}\\) mile.<br \/>\nCompare the fractions \\(\\frac{5}{8}\\) and \\(\\frac{5}{6}\\)<br \/>\nNumerators are the same and denominators are different.<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\nThus \\(\\frac{5}{8}\\) &lt; \\(\\frac{5}{6}\\)<br \/>\nPablo ran farther than Matthew.<\/p>\n<p>Question 16.<br \/>\nMallory bought 6 roses for her mother. Two-sixths of the roses are red and \\(\\frac{4}{6}\\) is yellow. Did Mallory buy fewer red roses or yellow roses?<br \/>\n___________<\/p>\n<p>Answer: Red Roses<\/p>\n<p>Explanation:<\/p>\n<p>Mallory bought 6 roses for her mother.<br \/>\nTwo-sixths of the roses are red and \\(\\frac{4}{6}\\) is yellow.<br \/>\nCompare fractions \\(\\frac{4}{6}\\) and \\(\\frac{2}{6}\\)<br \/>\nThe denominators of both the fractions are the same and numerators are different.<br \/>\n4 is greater than 2. So, \\(\\frac{4}{6}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\nTherefore Mallory buys fewer red roses.<\/p>\n<p>Question 17.<br \/>\nLani used \\(\\frac{2}{3}\\) cup of raisins, \\(\\frac{3}{8}\\) cup of cranberries, and \\(\\frac{3}{4}\\) cup of oatmeal to bake cookies. Which ingredient did Lani use the least amount of?<br \/>\n___________<\/p>\n<p>Answer: Cranberries<\/p>\n<p>Explanation:<\/p>\n<p>Lani used \\(\\frac{2}{3}\\) cup of raisins, \\(\\frac{3}{8}\\) cup of cranberries, and \\(\\frac{3}{4}\\) cup of oatmeal to bake cookies.<br \/>\nCompare the fractions \\(\\frac{2}{3}\\), \\(\\frac{3}{8}\\) and \\(\\frac{3}{4}\\)<br \/>\nThe numerators and denominators are different in this case.<br \/>\nThe denominator with the highest number will be the smallest fraction.<br \/>\nTherefore Lani used the least amount of cranberries.<\/p>\n<h3><a id=\"Compare_and_Order_Fractions_Page_No_537\"><\/a>Compare and Order Fractions &#8211; Page No. 537<\/h3>\n<p><strong>Write the fractions in order from greatest to least.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-13.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare and Order Fractions img 13\" width=\"292\" height=\"163\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{2}{8}\\), \\(\\frac{5}{8}\\), \\(\\frac{1}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{5}{8}\\), \\(\\frac{2}{8}\\), \\(\\frac{1}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The denominators of three fractions are same. So compare the numerators of the fractions.<br \/>\n5 is greater than 2 is greater than 1.<br \/>\nThus the order of the fraction is \\(\\frac{5}{8}\\), \\(\\frac{2}{8}\\), \\(\\frac{1}{8}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{2}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{1}{2}\\), \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the three fractions \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{2}\\)<br \/>\nWe observe that the numerators of the fractions are same and the denominators are different.<br \/>\nWe know that the denominators with the smallest number will be the greater fraction.<br \/>\nTherefore, \\(\\frac{1}{2}\\), \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{2}{3}\\), \\(\\frac{2}{6}\\), \\(\\frac{2}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{3}\\), \\(\\frac{2}{6}\\), \\(\\frac{2}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Comparing the fractions \\(\\frac{2}{3}\\), \\(\\frac{2}{6}\\), \\(\\frac{2}{8}\\)<br \/>\nThe numerators are the same but the denominators are different.<br \/>\nWe know that the denominators with the greatest number will be the smallest fraction.<br \/>\n3 is greater than 6 is greater than 8.<br \/>\nSo, the order of the fraction is \\(\\frac{2}{3}\\), \\(\\frac{2}{6}\\), \\(\\frac{2}{8}\\)<\/p>\n<p><strong>Write the fractions in order from least to greatest.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{2}{4}\\), \\(\\frac{4}{4}\\), \\(\\frac{3}{4}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{4}\\), \\(\\frac{3}{4}\\), \\(\\frac{4}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The denominators are same but the numerators are different.<br \/>\nSo compare the numerators of three fractions.<br \/>\n2 &lt; 3 &lt; 4<br \/>\n\\(\\frac{2}{4}\\), \\(\\frac{3}{4}\\), \\(\\frac{4}{4}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{6}\\), \\(\\frac{5}{6}\\), \\(\\frac{2}{6}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{6}\\), \\(\\frac{4}{6}\\), \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{4}{6}\\), \\(\\frac{5}{6}\\), \\(\\frac{2}{6}\\)<br \/>\nThe denominators are same but the numerators are different.<br \/>\nSo compare the numerators of the three fractions.<br \/>\nThe order of fractions from least to greatest is \\(\\frac{2}{6}\\), \\(\\frac{4}{6}\\), \\(\\frac{5}{6}\\)<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{8}\\), \\(\\frac{0}{8}\\), \\(\\frac{3}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{0}{8}\\), \\(\\frac{3}{8}\\), \\(\\frac{7}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{7}{8}\\), \\(\\frac{0}{8}\\), \\(\\frac{3}{8}\\)<br \/>\nThe numerators of the fractions are different. But the denominators are same.<br \/>\n0 &lt; 3 &lt; 7<br \/>\nThe order from least to greatest is \\(\\frac{0}{8}\\), \\(\\frac{3}{8}\\), \\(\\frac{7}{8}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{3}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{3}{8}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Compare the fractions \\(\\frac{3}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{8}\\)<br \/>\nThe numerators are same but the denominators of the three fractions are different.<br \/>\nSo, compare the denominators.<br \/>\nThe denominators with the greatest number will be the smallest fraction.<br \/>\nSo, the order of fractions from least to greatest is \\(\\frac{3}{8}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{4}\\)<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 9.<br \/>\nMr. Jackson ran \\(\\frac{7}{8}\\) mile on Monday. He ran \\(\\frac{3}{8}\\) mile on Wednesday and \\(\\frac{5}{8}\\) mile on Friday. On which day did Mr. Jackson run the shortest distance?<br \/>\nOn ___________<\/p>\n<p>Answer: Wednesday<\/p>\n<p>Explanation:<\/p>\n<p>Mr. Jackson ran \\(\\frac{7}{8}\\) mile on Monday.<br \/>\nHe ran \\(\\frac{3}{8}\\) mile on Wednesday and \\(\\frac{5}{8}\\) mile on Friday<br \/>\nThe denominators of the fractions are the same. So, compare the numerators.<br \/>\nCompare to all Mr. Jackson run the shortest distance on Wednesday.<\/p>\n<p>Question 10.<br \/>\nDelia has three pieces of ribbon. Her red ribbon is \\(\\frac{2}{4}\\) foot long. Her green ribbon is \\(\\frac{2}{3}\\) foot long. Her yellow ribbon is \\(\\frac{2}{6}\\) foot long. She wants to use the longest piece for a project. Which color ribbon should Delia use?<br \/>\nThe _______ ribbon<\/p>\n<p>Answer: Green<\/p>\n<p>Explanation:<\/p>\n<p>Delia has three pieces of ribbon. Her red ribbon is \\(\\frac{2}{4}\\) foot long.<br \/>\nHer green ribbon is \\(\\frac{2}{3}\\) foot long.<br \/>\nHer yellow ribbon is \\(\\frac{2}{6}\\) foot long.<br \/>\nCompare the fractions to know which color should Delia use.<br \/>\n\\(\\frac{2}{4}\\), \\(\\frac{2}{3}\\) and \\(\\frac{2}{6}\\)<br \/>\nThe numerators of the three fractions are the same but the denominators are different.<br \/>\n\\(\\frac{2}{3}\\) is longest among all.<br \/>\nso, the answer is Green ribbon.<\/p>\n<h3><a id=\"Compare_and_Order_Fractions_Lesson _Check_Page_No_538\"><\/a>Compare and Order Fractions &#8211; Page No. 538<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich list orders the fractions from least to greatest?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{8}\\), \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\)<br \/>\nb. \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{8}\\)<br \/>\nc. \\(\\frac{1}{8}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{3}\\)<br \/>\nd. \\(\\frac{1}{6}\\), \\(\\frac{1}{8}\\), \\(\\frac{1}{3}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>When the numerators are the same, think about the denominators to compare and order fractions.<br \/>\nThe denominator with the greatest number is the smallest fraction.<br \/>\n\\(\\frac{1}{8}\\) &lt; \\(\\frac{1}{6}\\) &lt; \\(\\frac{1}{3}\\)<br \/>\nSo, the order is \\(\\frac{1}{8}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{3}\\)<\/p>\n<p>Question 2.<br \/>\nWhich list orders the fractions from greatest to least?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{8}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{4}\\)<br \/>\nb. \\(\\frac{3}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{8}\\)<br \/>\nc. \\(\\frac{3}{4}\\), \\(\\frac{3}{8}\\), \\(\\frac{3}{4}\\)<br \/>\nd. \\(\\frac{3}{6}\\), \\(\\frac{3}{4}\\), \\(\\frac{3}{8}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>If the numerators are the same, think about the denominators to compare and order fractions.<br \/>\nThe denominators with the smallest number will be the greatest fraction.<br \/>\n\\(\\frac{3}{4}\\) &gt; \\(\\frac{3}{6}\\) &gt; \\(\\frac{3}{8}\\)<br \/>\nThus the fractions from greatest to least are \\(\\frac{3}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{3}{8}\\)<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhat fraction of the group of cars is shaded?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-14.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Compare and Order Fractions img 14\" width=\"370\" height=\"91\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{3}{8}\\)<br \/>\nb. \\(\\frac{1}{2}\\)<br \/>\nc. \\(\\frac{5}{8}\\)<br \/>\nd. \\(\\frac{3}{5}\\)<\/p>\n<p>Answer: \\(\\frac{3}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Total number of cars = 8<br \/>\nNumber of shaded cars among those 8 cars = 3<br \/>\nSo, the fraction of the shaded cars = 3\/8<br \/>\nThus the answer is option A.<\/p>\n<p>Question 4.<br \/>\nWendy has 6 pieces of fruit. Of these, 2 pieces are bananas. What fraction of Wendy\u2019s fruit is bananas?<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{6}\\)<br \/>\nb. \\(\\frac{2}{4}\\)<br \/>\nc. \\(\\frac{4}{6}\\)<br \/>\nd. \\(\\frac{2}{2}\\)<\/p>\n<p>Answer: \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given that, Wendy has 6 pieces of fruit.<br \/>\nOf these, 2 pieces are bananas.<br \/>\nThe fraction of Wendy\u2019s fruit is 2\/6<br \/>\nThus the correct answer is \\(\\frac{2}{6}\\) i.e., option A.<\/p>\n<p>Question 5.<br \/>\nToby collects data and makes a bar graph about his classmates\u2019 pets. He finds that 9 classmates have dogs, 2 classmates have fish, 6 classmates have cats, and 3 classmates have gerbils. Which pet will have the longest bar on the bar graph?<br \/>\nOptions:<br \/>\na. dog<br \/>\nb. fish<br \/>\nc. cat<br \/>\nd. gerbil<\/p>\n<p>Answer: dog<\/p>\n<p>Explanation:<\/p>\n<p>Number of classmates who have dogs = 9<br \/>\nNumber of classmates who have fish = 2<br \/>\nNumber of classmates who have cats = 6<br \/>\nNumber of classmates who have gerbils = 3<br \/>\nSo, dogs will have the longest bar on the bar graph.<\/p>\n<p>Question 6.<br \/>\nThe number sentence is an example of which multiplication property?<br \/>\n6 \u00d7 7 = (6 \u00d7 5) + (6 \u00d7 2)<br \/>\nOptions:<br \/>\na. Associative<br \/>\nb. Commutative<br \/>\nc. Distributive<br \/>\nd. Identity<\/p>\n<p>Answer: Distributive<\/p>\n<p>Explanation:<\/p>\n<p>6 \u00d7 7 = (6 \u00d7 5) + (6 \u00d7 2)<br \/>\nHere 7 is distributed into 5 + 2<br \/>\nAccording to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.<br \/>\nSo, the answer is option C.<\/p>\n<h3><a id=\"Model_Equivalent_Fractions_Page_No_543\"><\/a>Model Equivalent Fractions &#8211; Page No. 543<\/h3>\n<p><strong>Shade the model. Then divide the pieces to find the equivalent fraction.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-15.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 15\" width=\"153\" height=\"232\" \/><\/p>\n<p>Answer: \\(\\frac{4}{8}\\)<br \/>\nExplanation:<\/p>\n<p>The figure shows that there are 8 equal parts and 4 of them are shaded.<br \/>\nThe Fraction of the shaded part is \\(\\frac{4}{8}\\)<br \/>\nThus, \\(\\frac{4}{8}\\) = \\(\\frac{2}{4}\\)<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-16.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 16\" width=\"220\" height=\"162\" \/><br \/>\n\\(\\frac{1}{3}\\) = \\(\\frac{\u25a0}{6}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-3095\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Key-Chapter-9-Review-solution-image-7.jpg\" alt=\"Go Math Grade 3 Key Chapter 9 Review solution image 7\" width=\"263\" height=\"212\" \/><\/p>\n<p>There are 6 equal parts in which 2 parts are shaded. Now the fraction for the shaded part is \\(\\frac{2}{6}\\)<\/p>\n<p>\\(\\frac{1}{3}\\) = \\(\\frac{2}{6}\\)<\/p>\n<p><strong>Use the number line to find the equivalent fraction.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-17.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 17\" width=\"242\" height=\"109\" \/><br \/>\n\\(\\frac{1}{2}\\) = \\(\\frac{\u25a0}{4}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{4}\\)<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3097\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Answer-Grade-3-Chapter-9-Review-Solution-image_8-300x215.jpg\" alt=\"HMH Go Math Answer Grade 3 Chapter 9 Review Solution image_8\" width=\"300\" height=\"215\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Answer-Grade-3-Chapter-9-Review-Solution-image_8-300x215.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Answer-Grade-3-Chapter-9-Review-Solution-image_8.jpg 317w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>The fraction \\(\\frac{1}{2}\\) and \\(\\frac{2}{4}\\) lies on the same point.<\/p>\n<p>Therefore, \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-18.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 18\" width=\"244\" height=\"105\" \/><br \/>\n\\(\\frac{3}{4}\\) = \\(\\frac{\u25a0}{8}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\)<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3098\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Compare-fractions-key-review-solution-image_9-300x171.jpg\" alt=\"Go Math Grade 3 Compare fractions key review solution image_9\" width=\"300\" height=\"171\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Compare-fractions-key-review-solution-image_9-300x171.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Compare-fractions-key-review-solution-image_9.jpg 386w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>The above figure shows that the point \\(\\frac{6}{8}\\) and \\(\\frac{3}{4}\\) lies on the same point on the number line.<\/p>\n<p>Thus \\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)<\/p>\n<p><strong><em>Problem Solving<\/em><\/strong><\/p>\n<p>Question 5.<br \/>\nMike says that \\(\\frac{3}{3}\\) of his fraction model is shaded blue. Ryan says that \\(\\frac{6}{6}\\) of the same model is shaded blue. Are the two fractions equivalent? If so, what is another equivalent fraction?<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Mike says that \\(\\frac{3}{3}\\) of his fraction model is shaded blue.<br \/>\nRyan says that \\(\\frac{6}{6}\\) of the same model is shaded blue.<br \/>\nThe two fractions are equivalent.<br \/>\n\\(\\frac{3}{3}\\) = \\(\\frac{6}{6}\\) = \\(\\frac{2}{2}\\)<\/p>\n<p>Question 6.<br \/>\nBrett shaded \\(\\frac{4}{8}\\) of a sheet of notebook paper. Aisha says he shaded \\(\\frac{1}{2}\\) of the paper. Are the two fractions equivalent? If so, what is another equivalent fraction?<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{1}{2}\\) = \\(\\frac{4}{8}\\)<br \/>\nSo, the two fractions are equivalent.<br \/>\nThe another equivalent fraction is \\(\\frac{2}{4}\\).<\/p>\n<h3><a id=\"Model_Equivalent_Fractions_Lesson _Check_Page_No_544\"><\/a>Model Equivalent Fractions &#8211; Page No. 544<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nFind the fraction equivalent to \\(\\frac{2}{3}\\).<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-19.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 19\" width=\"217\" height=\"82\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{3}{2}\\)<br \/>\nb. \\(\\frac{4}{6}\\)<br \/>\nc. \\(\\frac{3}{6}\\)<br \/>\nd. \\(\\frac{1}{3}\\)<\/p>\n<p>Answer: \\(\\frac{4}{6}\\)<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-3099\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Compare-fractions-review-solution-image_10.jpg\" alt=\"Go Math Grade 3 Answer Key Compare fractions review solution image_10\" width=\"264\" height=\"137\" \/><\/p>\n<p>\\(\\frac{2}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n<p>Question 2.<br \/>\nFind the fraction equivalent to \\(\\frac{1}{4}\\).<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-20.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 20\" width=\"239\" height=\"107\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{2}\\)<br \/>\nb. \\(\\frac{2}{4}\\)<br \/>\nc. \\(\\frac{2}{8}\\)<br \/>\nd. \\(\\frac{6}{8}\\)<\/p>\n<p>Answer: \\(\\frac{2}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The fugure shows that the \\(\\frac{1}{4}\\) and \\(\\frac{2}{8}\\) lies on the same point.<br \/>\nSo, the equivalent fraction of \\(\\frac{1}{4}\\) is \\(\\frac{2}{8}\\)<br \/>\nThus the correct answer is option C.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nEric practiced piano and guitar for a total of 8 hours this week. He practiced the piano for \\(\\frac{1}{4}\\) of that time. How many hours did Eric practice the piano this week?<br \/>\nOptions:<br \/>\na. 6 hours<br \/>\nb. 4 hours<br \/>\nc. 3 hours<br \/>\nd. 2 hours<\/p>\n<p>Answer: 2 hours<\/p>\n<p>Explanation:<\/p>\n<p>Eric practiced piano and guitar for a total of 8 hours this week.<br \/>\nHe practiced the piano for \\(\\frac{1}{4}\\) of that time.<br \/>\nTo find how many hours did Eric practice the piano this week<br \/>\nYou need to multiply the total number of hours with a fraction of the time he practiced.<br \/>\n8 \u00d7\u00a0 \\(\\frac{1}{4}\\) = 2 hours<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 4.<br \/>\nKylee bought a pack of 12 cookies. One-third of the cookies are peanut butter. How many of the cookies in the pack are peanut butter?<br \/>\nOptions:<br \/>\na. 9<br \/>\nb. 6<br \/>\nc. 4<br \/>\nd. 3<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nKylee bought a pack of 12 cookies.<br \/>\nOne-third of the cookies are peanut butter.<br \/>\nTo find the number of cookies in the pack is peanut butter.<br \/>\nMultiply number of cookies with a fraction of cookies are peanut butter<br \/>\n12 \u00d7 \\(\\frac{1}{3}\\) = 4<br \/>\nSo, the correct answer is option C.<\/p>\n<p>Question 5.<br \/>\nThere are 56 students going to the game. The coach puts 7 students in each van. Which number sentence can be used to find how many vans are needed to take the students to the game?<br \/>\nOptions:<br \/>\na. 56 + 7 = \u25a0<br \/>\nb. \u25a0 + 7 = 56<br \/>\nc. \u25a0 \u00d7 7 = 56<br \/>\nd. 56 \u2212 7 = \u25a0<\/p>\n<p>Answer: \u25a0 \u00d7 7 = 56<\/p>\n<p>Explanation:<\/p>\n<p>There are 56 students going to the game.<br \/>\nThe coach puts 7 students in each van.<br \/>\nLet \u25a0 be the number of vans<br \/>\n56 \u00f7 7 = \u25a0<br \/>\n\u25a0 \u00d7 7 = 56<br \/>\n\u25a0 = 8<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 6.<br \/>\nWhich number sentence can be used to describe the picture?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-21.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Model Equivalent Fractions img 21\" width=\"244\" height=\"94\" \/><br \/>\nOptions:<br \/>\na. 2 + 4 = 6<br \/>\nb. 4 \u2212 2 = 2<br \/>\nc. 4 \u00d7 1 = 4<br \/>\nd. 8 \u00f7 2 = 4<\/p>\n<p>Answer: 8 \u00f7 2 = 4<\/p>\n<p>Explanation:<\/p>\n<p>Number of counters = 8<br \/>\nNumber of equal groups = 4<br \/>\nNumber in each group = 2<br \/>\nThe division equation is 8 \u00f7 2 = 4<br \/>\nSo, the answer is option D.<\/p>\n<h3><a id=\"Lesson_9.7_Page_No_548\"><\/a>Lesson 9.7 &#8211; Page No. 548<\/h3>\n<p>Question 13.<br \/>\nChristy bought 8 muffins. She chose 2 apple, 2 banana, and 4 blueberry. She and her family ate the apple and banana muffins for breakfast. What fraction of the muffins did they eat? Write an equivalent fraction. Draw a picture.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{4}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given:<br \/>\nChristy bought 8 muffins.<br \/>\nShe chose 2 apple, 2 banana, and 4 blueberries. She and her family ate the apple and banana muffins for breakfast.<br \/>\nThey had 2 apples and 2 banana muffins for their breakfast.<br \/>\nOnly 4 blueberries are left out of 8 muffins.<br \/>\nThe fraction of the muffins they ate = \\(\\frac{4}{8}\\) or \\(\\frac{1}{2}\\)<\/p>\n<p>Question 14.<br \/>\nAfter dinner, \\(\\frac{2}{3}\\) of the cornbread is left. Suppose 4 friends want to share it equally. What fraction names how much of the whole pan of corn bread each friend will get? Use the model on the right. Explain your answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-22.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Lesson 9.7 img 22\" width=\"118\" height=\"121\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>To know the fraction of the whole pan of cornbread that each friend get. I divide each third into 2 equal pieces to get 4 pieces in all.<br \/>\n\\(\\frac{2}{3}\\) = \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\) + \\(\\frac{1}{6}\\)<br \/>\nThat means each friend gets \\(\\frac{1}{6}\\) of cornbread of whole pan.<\/p>\n<p>Question 15.<br \/>\nThere are 16 people having lunch. Each person wants \\(\\frac{1}{4}\\) of a pizza. How many whole pizzas are needed? Draw a picture to show your answer.<br \/>\n______ pizzas<\/p>\n<p>Answer: 4 pizzas<\/p>\n<p>Explanation:<\/p>\n<p>Given that, There are 16 people having lunch.<br \/>\nEach person wants \\(\\frac{1}{4}\\) of a pizza.<br \/>\nMultiply the total number of people with fraction of each pizza for one person.<br \/>\n= 16 \u00d7 \\(\\frac{1}{4}\\)<br \/>\n= 16\/4 = 4<br \/>\nTherefore 4 pizzas are needed for 16 people.<\/p>\n<p>Question 16.<br \/>\nLucy has 5 oatmeal bars, each cut in half. What fraction names all of the oatmeal bar halves?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-23.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Lesson 9.7 img 23\" width=\"104\" height=\"152\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{10}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Lucy has 5 oatmeal bars, each cut in half.<br \/>\nTotal number of oatmeal bars = 5<br \/>\n5 oatmeal bars are divided into halves = 5 + 5 = 10<br \/>\nSo. the fraction name for all of the oatmeal bar halves = \\(\\frac{10}{2}\\)<\/p>\n<p>Question 16.<br \/>\nWhat if Lucy cuts each part of the oatmeal bar into 2 equal pieces to share with friends? What fraction names all of the oatmeal bar pieces now?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{10}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The above figure shows that there are 5 oatmeal bars.<br \/>\nAnd each oatmeal bar is divided into halves = 5 \u00d7 2 = 10<br \/>\nThe fraction for the all of the oatmeal bar halves = \\(\\frac{10}{2}\\)<br \/>\nThe equivalent fraction of \\(\\frac{10}{2}\\) is \\(\\frac{20}{4}\\)<\/p>\n<p>Question 17.<br \/>\nMr. Peters made a pizza. There is \\(\\frac{4}{8}\\) of the pizza left over. Select the fractions that are equivalent to the part of the pizza that is left over. Mark all that apply.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-24.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Lesson 9.7 img 24\" width=\"113\" height=\"112\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}\\)<br \/>\nb. \\(\\frac{3}{4}\\)<br \/>\nc. \\(\\frac{2}{4}\\)<br \/>\nd. \\(\\frac{1}{2}\\)<\/p>\n<p>Answer: \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Mr. Peters made a pizza. There is \\(\\frac{4}{8}\\) of the pizza left over.<br \/>\nThe equivalent fraction of \\(\\frac{4}{8}\\) is \\(\\frac{2}{4}\\)<br \/>\nSo, the correct answer is option C.<\/p>\n<h3><a id=\"Equivalent_Fractions_Page_No_549\"><\/a>Equivalent Fractions &#8211; Page No. 549<\/h3>\n<p><strong>Each shape is 1 whole. Shade the model to find the equivalent fraction.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-25.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 25\" width=\"177\" height=\"157\" \/><\/p>\n<p>Answer: \\(\\frac{3}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The circle is divided into 6 equal groups. Each group is \\(\\frac{1}{6}\\) of the whole circle.<br \/>\nThere are 3 shaded parts in the circle.<br \/>\nSo, the fraction of the shaded part is \\(\\frac{3}{6}\\).<br \/>\n\\(\\frac{1}{2}\\) = \\(\\frac{3}{6}\\)<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-26.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 26\" width=\"178\" height=\"84\" \/><br \/>\n\\(\\frac{3}{4}\\) = \\(\\frac{6}{\u25a0}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The square is divided into 8 equal parts. Each group is \\(\\frac{1}{8}\\) of the whole square.<br \/>\nThere are 6 shaded parts in the square.<br \/>\nThus the fraction of the shaded part is 6\/8<br \/>\nSo, \\(\\frac{3}{4}\\) = \\(\\frac{6}{8}\\)<\/p>\n<p><strong>Circle equal groups to find the equivalent fraction.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-27.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 27\" width=\"160\" height=\"50\" \/><br \/>\n\\(\\frac{2}{4}\\) = \\(\\frac{\u25a0}{2}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Rectangle is divided into 4 equal parts. The fraction of each group is 1\/4.<br \/>\nThere are 2 shaded parts out of 4 = \\(\\frac{2}{4}\\)<br \/>\nlatex]\\frac{2}{4}[\/latex] = \\(\\frac{1}{2}\\)<\/p>\n<p>Question 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-28.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 28\" width=\"233\" height=\"49\" \/><br \/>\n\\(\\frac{4}{6}\\) = \\(\\frac{\u25a0}{3}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The figure shows that the rectangle is divided into 6 equal parts and 4 are shaded among them.<br \/>\nThe fraction of the shaded part is \\(\\frac{4}{6}\\)<br \/>\nWe can also write it as \\(\\frac{2}{3}\\)<br \/>\nThus, \\(\\frac{4}{6}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p><strong><em>Problem Solving<\/em><\/strong><\/p>\n<p>Question 5.<br \/>\nMay painted 4 out of 8 equal parts of a poster board blue. Jared painted 2 out of 4 equal parts of a same-size poster board red. Write fractions to show which part of the poster board each person painted.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: May \\(\\frac{4}{8}\\); Jared \\(\\frac{2}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given that, May painted 4 out of 8 equal parts of a poster board blue.<br \/>\n4 parts are shaded out of 8 parts. So, the fraction of the shaded part is \\(\\frac{4}{8}\\)<br \/>\nJared painted 2 out of 4 equal parts of a same-size poster board red.<br \/>\nThe fraction of the shaded part is \\(\\frac{2}{4}\\)<\/p>\n<p>Question 6.<br \/>\nAre the fractions equivalent? Draw a model to explain.<br \/>\n____________<\/p>\n<p>Answer: Yes<\/p>\n<h3><a id=\"Equivalent_Fractions_Lesson _Check_Page_No_550\"><\/a>Equivalent Fractions &#8211; Page No. 550<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich fraction is equivalent to \\(\\frac{6}{8}\\)?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-29.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 29\" width=\"273\" height=\"69\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{1}{3}\\)<br \/>\nc. \\(\\frac{3}{4}\\)<br \/>\nd. \\(\\frac{4}{6}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3088\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Review-solution_1-278x300.jpg\" alt=\"Go Math Grade 3 Chapter 9 Answer Key Review solution_1\" width=\"278\" height=\"300\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Review-solution_1-278x300.jpg 278w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Answer-Key-Review-solution_1.jpg 299w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/p>\n<p>\\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<br \/>\nSo, the correct answer is option C.<\/p>\n<p>Question 2.<br \/>\nWhich fraction is equivalent to \\(\\frac{1}{3}\\) ?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-30.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 30\" width=\"276\" height=\"130\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{6}\\)<br \/>\nb. \\(\\frac{2}{8}\\)<br \/>\nc. \\(\\frac{2}{6}\\)<br \/>\nd. \\(\\frac{2}{3}\\)<\/p>\n<p>Answer: \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-3089\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Key-Chapter-9-Review-solution-image_4-300x235.jpg\" alt=\"Go Math Grade 3 Key Chapter 9 Review solution image_4\" width=\"300\" height=\"235\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Key-Chapter-9-Review-solution-image_4-300x235.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Key-Chapter-9-Review-solution-image_4.jpg 427w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\\(\\frac{1}{3}\\) = \\(\\frac{2}{6}\\)<br \/>\nThe correct answer is option C.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhich number sentence is shown by the array?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-31.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Equivalent Fractions img 31\" width=\"298\" height=\"76\" \/><br \/>\nOptions:<br \/>\na. 8 \u2212 2 = 6<br \/>\nb. 8 \u00d7 1 = 8<br \/>\nc. 2 + 8 = 10<br \/>\nd. 16 \u00f7 2 = 8<\/p>\n<p>Answer: 16 \u00f7 2 = 8<\/p>\n<p>Explanation:<\/p>\n<p>Number of counters = 16<br \/>\nNumber of rows = 2<br \/>\nDivide Number of counters by number of rows<br \/>\n= 16 \u00f7 2 = 8<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 4.<br \/>\nCody put 4 plates on the table. He put 1 apple on each plate. Which number sentence can be used to find the total number of apples on the table?<br \/>\nOptions:<br \/>\na. 4 + 1 = 5<br \/>\nb. 4 \u2212 1 = 3<br \/>\nc. 4 \u00d7 1 = 4<br \/>\nd. 4 \u00f7 2 = 2<\/p>\n<p>Answer: 4 \u00d7 1 = 4<\/p>\n<p>Explanation:<\/p>\n<p>Cody put 4 plates on the table.<br \/>\nHe put 1 apple on each plate.<br \/>\nThe total number of apples on each table = 4 \u00d7 1 = 4<br \/>\nSo, the correct answer is option C.<\/p>\n<p>Question 5.<br \/>\nWhich number sentence is a related fact to 7 \u00d7 3 = 21?<br \/>\nOptions:<br \/>\na. 7 + 3 = 10<br \/>\nb. 7 \u2212 3 = 4<br \/>\nc. 7 \u00d7 2 = 14<br \/>\nd. 21 \u00f7 3 = 7<\/p>\n<p>Answer: 21 \u00f7 3 = 7<\/p>\n<p>Explanation:<\/p>\n<p>The related division fact of 7 \u00d7 3 = 21 is 21 \u00f7 3 = 7<br \/>\nThe correct answer is option D.<\/p>\n<p>Question 6.<br \/>\nFind the quotient.<br \/>\n4)\\(\\bar{3 6}\\)<br \/>\nOptions:<br \/>\na. 9<br \/>\nb. 8<br \/>\nc. 7<br \/>\nd. 6<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<\/p>\n<p>36 \u00f7 4 = 9<br \/>\n4 divides 36 nine times. So the quotient is 9.<br \/>\nSo, the correct answer is option A.<\/p>\n<h3><a id=\"Review_Test_Page_No_551\"><\/a>Review\/Test &#8211; Page No. 551<\/h3>\n<p>Question 1.<br \/>\nAlexa and Rose read books that have the same number of pages. Alexa\u2019s book is divided into 8 equal chapters. Rose\u2019s book is divided into 6 equal chapters. Each girl has read 3 chapters of her book.<br \/>\nWrite a fraction to describe what part of the book each girl read. Then tell who read more pages. Explain.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer: Rose read more pages than Alexa<\/p>\n<p>Explanation:<\/p>\n<p>Given that,<br \/>\nAlexa and Rose read books that have the same number of pages.<br \/>\nAlexa\u2019s book is divided into 8 equal chapters.<br \/>\nRose\u2019s book is divided into 6 equal chapters.<br \/>\nEach girl has read 3 chapters of her book.<br \/>\nThe fraction of Alexa&#8217;s book = \\(\\frac{3}{8}\\)<br \/>\nThe fraction of Rose&#8217;s book = \\(\\frac{3}{6}\\)<br \/>\nNow, compare the fractions to find who read more pages.<br \/>\n\\(\\frac{3}{8}\\) &amp; \\(\\frac{3}{6}\\)<br \/>\nThe numerators of the two fractions are the same. So compare the denominators.<br \/>\nThe denominator of the greater number will be the smallest fraction.<br \/>\n\\(\\frac{3}{8}\\) &lt; \\(\\frac{3}{6}\\)<br \/>\nBy this, we can say that Rose read more pages than Alexa.<\/p>\n<p>Question 2.<br \/>\nDavid, Maria, and Simone are shading same-sized index cards for a science project. David shaded \\(\\frac{2}{4}\\) of his index card. Maria shaded \\(\\frac{2}{8}\\) of her index card and Simone shaded \\(\\frac{2}{6}\\) of her index card.<br \/>\nFor 2a\u20132d, choose Yes or No to indicate whether the comparisons are correct.<br \/>\na. \\(\\frac{2}{4}\\) &gt; \\(\\frac{2}{8}\\)<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{2}{4}\\) &gt; \\(\\frac{2}{8}\\)<br \/>\nThe denominators with the smallest number will be the greatest fraction.<br \/>\nThus the statement \\(\\frac{2}{4}\\) &gt; \\(\\frac{2}{8}\\) is true.<\/p>\n<p>Question 2.<br \/>\nb. \\(\\frac{2}{8}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{2}{8}\\) &gt; \\(\\frac{2}{6}\\)<br \/>\nThe numerators are same so compare the denominators.<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\n\\(\\frac{2}{8}\\) &lt; \\(\\frac{2}{6}\\)<br \/>\nThus the statement is false.<\/p>\n<p>Question 2.<br \/>\nc. \\(\\frac{2}{6}\\) &lt; \\(\\frac{2}{4}\\)<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{2}{6}\\), \\(\\frac{2}{4}\\)<br \/>\nThe numerators are same so compare the denominators.<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\n\\(\\frac{2}{6}\\) &lt; \\(\\frac{2}{4}\\)<br \/>\nThus the statement is correct.<\/p>\n<p>Question 2.<br \/>\nd. \\(\\frac{2}{8}\\) = \\(\\frac{2}{4}\\)<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{2}{8}\\) = \\(\\frac{2}{4}\\)<br \/>\nThe numerators and denominators are different.<br \/>\nSo, \\(\\frac{2}{8}\\) is not equal to \\(\\frac{2}{4}\\)<br \/>\nThe statement is false.<\/p>\n<p>Question 3.<br \/>\nDan and Miguel are working on the same homework assignment. Dan has finished \\(\\frac{1}{4}\\) of the assignment. Miguel has finished \\(\\frac{3}{4}\\) of the assignment. Which statement is correct? Mark all that apply.<br \/>\nOptions:<br \/>\na. Miguel has completed the entire assignment.<br \/>\nb. Dan has not completed the entire assignment.<br \/>\nc. Miguel has finished more of the assignment than Dan.<br \/>\nd. Dan and Miguel have completed equal parts of the assignment.<\/p>\n<p>Answer: B &amp; C are the correct statements.<\/p>\n<p>Explanation:<\/p>\n<p>Given, Dan and Miguel are working on the same homework assignment.<br \/>\nDan has finished \\(\\frac{1}{4}\\) of the assignment.<br \/>\nMiguel has finished \\(\\frac{3}{4}\\) of the assignment.<br \/>\nA. Miguel has completed the entire assignment.<br \/>\nMiguel has finished \\(\\frac{3}{4}\\) of the assignment. So the statement is false.<br \/>\nB. Dan has not completed the entire assignment.<br \/>\nDan has finished \\(\\frac{1}{4}\\) of the assignment. So the statement is true.<br \/>\nC. Miguel has finished more of the assignment than Dan.<br \/>\n\\(\\frac{3}{4}\\) &gt; \\(\\frac{1}{4}\\)<br \/>\nSo, the statement is true.<br \/>\nD. Dan and Miguel have completed equal parts of the assignment.<br \/>\n\\(\\frac{3}{4}\\) is not equal to \\(\\frac{1}{4}\\)<br \/>\nThus the statement is false.<br \/>\nSo the correct answer is B &amp; C.<\/p>\n<h3><a id=\"Review_Test_Page_No_552\"><\/a>Review\/Test &#8211; Page No. 552<\/h3>\n<p>Question 4.<br \/>\nBryan cut two peaches that were the same size for lunch. He cut one peach into fourths and the other into sixths. Bryan ate \\(\\frac{3}{4}\\) of the first peach. His brother ate \\(\\frac{5}{6}\\) of the second peach. Who ate more peach? Explain the strategy you used to solve the problem.<br \/>\n___________<\/p>\n<p>Answer: Bryan&#8217;s brother<\/p>\n<p>Explanation:<\/p>\n<p>Given that,<br \/>\nBryan cut two peaches that were the same size for lunch.<br \/>\nHe cut one peach into fourths and the other into sixths.<br \/>\nBryan ate \\(\\frac{3}{4}\\) of the first peach.<br \/>\nHis brother ate \\(\\frac{5}{6}\\) of the second peach.<br \/>\nCompare the fractions \\(\\frac{3}{4}\\) and \\(\\frac{5}{6}\\)<br \/>\nThe numerators and denominators are different.<br \/>\n\\(\\frac{3}{4}\\) \u00d7 \\(\\frac{6}{6}\\) = \\(\\frac{18}{24}\\)<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{3}{4}\\) = \\(\\frac{15}{24}\\)<br \/>\n\\(\\frac{15}{24}\\) &lt; \\(\\frac{18}{24}\\)<br \/>\nBy this we can say that Bryan&#8217;s brother ate more peach.<\/p>\n<p>Question 5.<br \/>\nA nature center offers 2 guided walks. The morning walk is \\(\\frac{2}{3}\\) mile. The evening walk is \\(\\frac{3}{6}\\) mile. Which walk is shorter? Explain how you can use the model to find the answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-32.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 32\" width=\"270\" height=\"96\" \/><br \/>\n___________<\/p>\n<p>Answer: Evening walk<\/p>\n<p>Explanation:<\/p>\n<p>Given, The morning walk is \\(\\frac{2}{3}\\) mile<br \/>\nThe evening walk is \\(\\frac{3}{6}\\) mile.<br \/>\nThe shorter among both is \\(\\frac{3}{6}\\) i.e, evening walk<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-2683\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-math-Answer-Key-Grade-3-Chapter-9-Review-solution-image_3.jpg\" alt=\"HMH Go math Answer Key Grade 3 Chapter 9 Review solution image_3\" width=\"276\" height=\"172\" \/><\/p>\n<p>\\(\\frac{2}{3}\\) &gt; \\(\\frac{3}{6}\\)<\/p>\n<p>Question 6.<br \/>\nChun lives \\(\\frac{3}{8}\\) mile from school. Gail lives \\(\\frac{5}{8}\\) mile from school. Use the fractions and symbols to show which distance is longer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-33.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 33\" width=\"244\" height=\"124\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) mile<\/p>\n<p>Answer: \\(\\frac{3}{8}\\) &lt; \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Given,<br \/>\nChun lives \\(\\frac{3}{8}\\) mile from school.<br \/>\nGail lives \\(\\frac{5}{8}\\) mile from school.<br \/>\nDenominators are the same so we have to compare the numerators.<br \/>\n3 is less than 5. \\(\\frac{3}{8}\\) &lt; \\(\\frac{5}{8}\\)<\/p>\n<h3><a id=\"Review_Test_Page_No_553\"><\/a>Review\/Test &#8211; Page No. 553<\/h3>\n<p>Question 7.<br \/>\nMrs. Reed baked four pans of lasagna for a family party. Use the rectangles to represent the pans.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-34.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 34\" width=\"588\" height=\"83\" \/><br \/>\nPart A<br \/>\nDraw lines to show how Mrs. Reed could cut one pan of lasagna into thirds, one into fourths, one into sixths, and one into eighths.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p>Mrs. Reed could cut one pan of lasagna into thirds:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-2678\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Solution-Key-Grade-3-Chapter-9-Review-solution-image_-2a.jpg\" alt=\"Go Math Solution Key Grade 3 Chapter 9 Review solution image_ 2a\" width=\"171\" height=\"97\" \/><\/p>\n<p>Mrs. Reed could cut one pan of lasagna into fourths:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-2676\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Compare-fractions-Go-Math-Grade-3-Answer-Key-Review-solution-Image_-2b.jpg\" alt=\"Compare fractions Go Math Grade 3 Answer Key Review solution Image_ 2b\" width=\"186\" height=\"93\" \/><\/p>\n<p>Mrs. Reed could cut one pan of lasagna into sixths:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-2679\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/HMH-Go-Math-Key-Grade-3-Chapter-9-Review-Solution-Image_2c.jpg\" alt=\"HMH Go Math Key Grade 3 Chapter 9 Review Solution Image_2c\" width=\"182\" height=\"97\" \/><\/p>\n<p>Mrs. Reed could cut one pan of lasagna into eighths:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-2677\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-Key-Review-Solution-Image_2d.jpg\" alt=\"Go Math Grade 3 Chapter 9 Key Review Solution Image_2d\" width=\"184\" height=\"90\" \/><\/p>\n<p>Question 7.<br \/>\nPart B<br \/>\nAt the end of the dinner, equivalent amounts of lasagna in two pans were left. Use the models to show the lasagna that might have been left over. Write two pairs of equivalent fractions to represent the models.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-2680\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Answer-Key-for-Go-Math-Grade-chapter-9-Review-solution-image_2e-300x69.jpg\" alt=\"Answer Key for Go Math Grade chapter 9 Review solution image_2e\" width=\"300\" height=\"69\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Answer-Key-for-Go-Math-Grade-chapter-9-Review-solution-image_2e-300x69.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Answer-Key-for-Go-Math-Grade-chapter-9-Review-solution-image_2e.jpg 418w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\\(\\frac{1}{3}\\) = \\(\\frac{2}{6}\\)<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-2681\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-key-review-solution-image_2f-300x65.jpg\" alt=\"Go Math Grade 3 Chapter 9 key review solution image_2f\" width=\"300\" height=\"65\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-key-review-solution-image_2f-300x65.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Chapter-9-key-review-solution-image_2f.jpg 425w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\)<\/p>\n<p>Question 8.<br \/>\nTom rode his horse for \\(\\frac{4}{6}\\) mile. Liz rode her horse for an equal distance. What is an equivalent fraction that describes how far Liz rode? Use the models to show your work.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-35.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 35\" width=\"256\" height=\"115\" \/><br \/>\n\\(\\frac{4}{6}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{4}{6}\\) = \\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The above figure shows that the fraction of the first figure \\(\\frac{4}{6}\\) is equal to the fraction of the second figure i.e., \\(\\frac{2}{3}\\).<\/p>\n<p>Question 9.<br \/>\nAvery prepares 2 equal-size oranges for the bats at the zoo. One dish has \\(\\frac{3}{8}\\) of an orange. Another dish has \\(\\frac{1}{4}\\) of an orange. Which dish has more orange? Show your work. \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: First, we need to find an equivalent fraction to \\(\\frac{1}{4}\\) so it would have the same denominator as \\(\\frac{3}{8}\\)<br \/>\n\\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\) &#8211; equivalent fractions<br \/>\nNow we can compare the fractions:<br \/>\n\\(\\frac{2}{8}\\) &lt; \\(\\frac{3}{8}\\)<br \/>\nTherefore \\(\\frac{1}{4}\\) &lt; \\(\\frac{3}{8}\\)<br \/>\nSo, the answer is \\(\\frac{3}{8}\\)<\/p>\n<h3><a id=\"Review_Test_Page_No_554\"><\/a>Review\/Test &#8211; Page No. 554<\/h3>\n<p>Question 10.<br \/>\nJenna painted \\(\\frac{1}{8}\\)of one side of a fence. Mark painted \\(\\frac{1}{6}\\) of the other side of the same fence. Use &gt;, =, or &lt; to compare the parts that they painted.<br \/>\n\\(\\frac{1}{8}\\) ______ \\(\\frac{1}{6}\\)<\/p>\n<p>Answer: \\(\\frac{1}{8}\\) &lt; \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Jenna painted \\(\\frac{1}{8}\\)of one side of a fence.<br \/>\nMark painted \\(\\frac{1}{6}\\) of the other side of the same fence.<br \/>\nThe numerators of both fractions are the same. So compare the denominators.<br \/>\n\\(\\frac{1}{8}\\) &amp; \\(\\frac{1}{6}\\)<br \/>\nThe denominator with the greatest number will be the smallest fraction.<br \/>\nSo, \\(\\frac{1}{8}\\) &lt; \\(\\frac{1}{6}\\)<\/p>\n<p>Question 11.<br \/>\nBill used \\(\\frac{1}{3}\\) cup of raisins and \\(\\frac{2}{3}\\) cup of banana chips to make a snack. For 11a\u201311d, select True or False for each comparison.<br \/>\na. \\(\\frac{1}{3}\\) &gt; \\(\\frac{2}{3}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<\/p>\n<p>The denominators are the same here. So check the numerators.<br \/>\n1 is less than 2.<br \/>\n\\(\\frac{1}{3}\\) &gt; \\(\\frac{2}{3}\\)<br \/>\nThe statement is false.<\/p>\n<p>Question 11.<br \/>\nb. \\(\\frac{2}{3}\\) = \\(\\frac{1}{3}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<\/p>\n<p>The denominators and numerators are not equal in this equation.<br \/>\nSo, the statement is false.<\/p>\n<p>Question 11.<br \/>\nc. \\(\\frac{1}{3}\\) &lt; \\(\\frac{2}{3}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Explanation:<\/p>\n<p>The denominators of both the fractions are the same.<br \/>\nCompare the numerators. 1 is less than 2.<br \/>\nSo, \\(\\frac{1}{3}\\) &lt; \\(\\frac{2}{3}\\).<br \/>\nThe statement is true.<\/p>\n<p>Question 11.<br \/>\nd. \\(\\frac{2}{3}\\) &gt; \\(\\frac{1}{3}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Explanation:<\/p>\n<p>The denominators of both the fractions are the same.<br \/>\nCompare the numerators. 2 is greater than 1.<br \/>\n\\(\\frac{2}{3}\\) &gt; \\(\\frac{1}{3}\\)<br \/>\nThe statement is true.<\/p>\n<p>Question 12.<br \/>\nJorge, Lynne, and Crosby meet at the playground. Jorge lives \\(\\frac{5}{6}\\) mile from the playground. Lynne lives \\(\\frac{4}{6}\\) mile from the playground. Crosby lives \\(\\frac{7}{8}\\) mile from the playground.<br \/>\nPart A<br \/>\nWho lives closer to the playground, Jorge or Lynne?<br \/>\nExplain how you know.<br \/>\n_____<\/p>\n<p>Answer: Lynne<\/p>\n<p>Explanation:<\/p>\n<p>Jorge lives \\(\\frac{5}{6}\\) mile from the playground.<br \/>\nLynne lives \\(\\frac{4}{6}\\) mile from the playground.<br \/>\nThe denominators are the same. So, compare the numerators.<br \/>\n5 is greater than 4. So, \\(\\frac{5}{6}\\) &gt; \\(\\frac{4}{6}\\)<br \/>\nTherefore, Lynne lives closer to the playground.<\/p>\n<p>Question 12.<br \/>\nPart B<br \/>\nWho lives closer to the playground, Jorge or Crosby?<br \/>\nExplain how you know.<br \/>\n_____<\/p>\n<p>Answer: Jorge<\/p>\n<p>Explanation:<\/p>\n<p>Jorge lives \\(\\frac{5}{6}\\) mile from the playground.<br \/>\nCrosby lives \\(\\frac{7}{8}\\) mile from the playground.<br \/>\nCompare the fraction of the both Jorge and Crosby.<br \/>\n\\(\\frac{5}{6}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{40}{48}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{6}{6}\\) = \\(\\frac{42}{48}\\)<br \/>\n\\(\\frac{40}{48}\\) &lt; \\(\\frac{42}{48}\\)<br \/>\nTherefore, Jorge lives closer to the playground.<\/p>\n<h3><a id=\"Review_Test_Page_No_555\"><\/a>Review\/Test &#8211; Page No. 555<\/h3>\n<p>Question 13.<br \/>\nMing needs \\(\\frac{1}{2}\\) pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He wants to use only 1 jar of paint. Mark all of the jars of paints that Ming could use.<br \/>\nOptions:<br \/>\na. \\(\\frac{2}{3}\\) pint<br \/>\nb. \\(\\frac{1}{4}\\) pint<br \/>\nc. \\(\\frac{4}{6}\\) pint<br \/>\nd. \\(\\frac{3}{4}\\) pint<br \/>\ne. \\(\\frac{3}{8}\\) pint<br \/>\nf. \\(\\frac{2}{6}\\) pint<\/p>\n<p>Answer: \\(\\frac{2}{3}\\) pint, \\(\\frac{3}{4}\\) pint, \\(\\frac{4}{6}\\) pint<\/p>\n<p>Explanation:<\/p>\n<p>We have to find all the jars that have an amount of paint greater than \\(\\frac{1}{2}\\)<br \/>\nA. \\(\\frac{2}{3}\\) pint &gt; \\(\\frac{1}{2}\\)<br \/>\nB. \\(\\frac{1}{4}\\) pint &lt; \\(\\frac{1}{2}\\)<br \/>\nC. \\(\\frac{4}{6}\\) pint &gt; \\(\\frac{1}{2}\\)<br \/>\nD. \\(\\frac{3}{4}\\) pint &lt; \\(\\frac{1}{2}\\)<br \/>\nE. \\(\\frac{3}{8}\\) pint &lt; \\(\\frac{1}{2}\\)<br \/>\nF. \\(\\frac{2}{6}\\) pint &lt; \\(\\frac{1}{2}\\)<\/p>\n<p>Question 14.<br \/>\nThere are 12 people having lunch. Each person wants \\(\\frac{1}{3}\\) of a sub sandwich. How many whole sub sandwiches are needed? Use the models to show your answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-36.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 36\" width=\"599\" height=\"117\" \/><br \/>\n______ sub sandwiches<\/p>\n<p>Answer: 4 sub sandwiches<\/p>\n<p>Explanation:<\/p>\n<p>Given that, There are 12 people having lunch.<br \/>\nEach person wants \\(\\frac{1}{3}\\) of a sub sandwich.<br \/>\nMultiply the number of people with Each person wants of a sub sandwich.<br \/>\n12 \u00d7 \\(\\frac{1}{3}\\)<br \/>\n3 divides 12 four times. So, the answer is 4 sub sandwiches.<\/p>\n<p>Question 15.<br \/>\nMavis mixed \\(\\frac{2}{4}\\) quart of apple juice with \\(\\frac{1}{2}\\) quart of cranberry juice. Compare the fractions. Choose the symbol that makes the statement true.<br \/>\n\\(\\frac{2}{4}\\) <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-37.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 37\" width=\"61\" height=\"120\" \/> \\(\\frac{1}{2}\\)<br \/>\n______<\/p>\n<p>Answer:\u00a0 \\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)<\/p>\n<p>Question 16.<br \/>\nPat has three pieces of fabric that measure \\(\\frac{3}{6}\\), \\(\\frac{5}{6}\\), and \\(\\frac{2}{6}\\) yards long. Write the lengths in order from least to greatest.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{2}{6}\\), \\(\\frac{3}{6}\\), \\(\\frac{5}{6}\\)<\/p>\n<p>Explanation:<\/p>\n<p>The denominators of \\(\\frac{3}{6}\\), \\(\\frac{5}{6}\\), and \\(\\frac{2}{6}\\) are same. So, Compare the numerators 2 &lt; 3, 5<\/p>\n<h3><a id=\"Review_Test_Page_No_556\"><\/a>Review\/Test &#8211; Page No. 556<\/h3>\n<p>Question 17.<br \/>\nCora measures the heights of three plants. Draw a line to match each height on the left to the word on the right that describes its place in the order of heights.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-38.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 38\" width=\"347\" height=\"120\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-2675\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-9-Go-Math-Grade-3-Answer-Key-Review-solution-image_1-300x106.jpg\" alt=\"Chapter 9 Go Math Grade 3 Answer Key Review solution image_1\" width=\"300\" height=\"106\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-9-Go-Math-Grade-3-Answer-Key-Review-solution-image_1-300x106.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-9-Go-Math-Grade-3-Answer-Key-Review-solution-image_1.jpg 355w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<\/p>\n<p>\\(\\frac{4}{6}\\) &lt; \\(\\frac{4}{4}\\)<br \/>\n\\(\\frac{4}{8}\\) &lt; \\(\\frac{4}{4}\\)<br \/>\n\\(\\frac{4}{6}\\) &gt; \\(\\frac{4}{8}\\)<br \/>\nThe numerators are same. So, compare the denominators. The greatest fraction will have the lesser denominator.<br \/>\n\\(\\frac{4}{8}\\) &lt; \\(\\frac{4}{6}\\) &lt; \\(\\frac{4}{4}\\).<\/p>\n<p>Question 18.<br \/>\nDanielle drew a model to show equivalent fractions.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-39.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 39\" width=\"306\" height=\"71\" \/><br \/>\nUse the model to complete the number sentence.<br \/>\n\\(\\frac{1}{2}\\) = \\(\\frac{\u25a1}{\u25a1}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\) = \\(\\frac{4}{8}\\)<\/p>\n<p>Total number of boxes are 4 and each are grouped into 2 = 8<br \/>\nOut of 4 boxes 2 boxes are shaded = \\(\\frac{2}{4}\\)<br \/>\n\\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)<br \/>\nNext out of 8 grouped squares 4 are shaded = \\(\\frac{4}{8}\\)<br \/>\n\\(\\frac{4}{8}\\) = \\(\\frac{1}{2}\\)<br \/>\nTherefore the equivalent fractions are \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\) = \\(\\frac{4}{8}\\)<\/p>\n<p>Question 19.<br \/>\nFloyd caught a fish that weighed \\(\\frac{2}{3}\\) pound. Kira caught a fish that weighed \\(\\frac{7}{8}\\) pound. Whose fish weighed more? Explain the strategy you used to solve the problem.<br \/>\n_____<\/p>\n<p>Answer: Kira<\/p>\n<p>Explanation:<\/p>\n<p>We need to find equivalent fractions with the same denominator:<br \/>\nSo Make the denominators of \\(\\frac{2}{3}\\) and \\(\\frac{7}{8}\\) equal.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{8}{8}\\) = \\(\\frac{16}{24}\\)<br \/>\n\\(\\frac{7}{8}\\) \u00d7 \\(\\frac{3}{3}\\) = \\(\\frac{21}{24}\\)<br \/>\n\\(\\frac{16}{24}\\) &lt; \\(\\frac{21}{24}\\)<br \/>\nTherefore \\(\\frac{2}{3}\\) &lt; \\(\\frac{7}{8}\\)<\/p>\n<p>Question 20.<br \/>\nSam went for a ride on a sailboat. The ride lasted \\(\\frac{3}{4}\\) hour.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-3-Answer-Key-Chapter-9-Compare-Fractions-img-40.jpg\" alt=\"Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Review\/Test img 40\" width=\"307\" height=\"73\" \/><br \/>\nWhat fraction is equivalent to \\(\\frac{3}{4}\\)?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{6}{8}\\)<\/p>\n<p>Explanation:<\/p>\n<p>Total number of boxes are 4 and each is grouped into 2 = 8<br \/>\nOut of 4 boxes 3 boxes are shaded = \\(\\frac{3}{4}\\)<br \/>\nNext out of 8 grouped squares 6 are shaded = \\(\\frac{6}{8}\\)<br \/>\nThus the fraction is equivalent to \\(\\frac{3}{4}\\) is \\(\\frac{6}{8}\\)<\/p>\n<p><em>Conclusion<\/em><\/p>\n<p>Learn the Go Math Answer Key for Grade 3 Chapter 9 Compare Fractions provided and improve your math as well as problem-solvingskills. You can acheieve greater heights and fall in love with Math with our Go Math Grade 3 Ch 9 Compare Fractions. To solve more such similar kinds of questions access <a href=\"https:\/\/ccssanswers.com\/go-math-grade-3-answer-key-chapter-9-compare-fractions-extra-practice\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Extra Practice<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In Order to attempt the 3rd Grade Exam, you need to have strong fundamentals. Download Go Math Grade 3 Answer Key Chapter 9 Compare Fractions free of cost and get the homework help you need. Attempt the Mid Chapter Checkpoint Test to know your preparation level within the Chapter. 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