\nUse a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write the complete number sentence. Part (a) is partially completed.
\na. \\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\)
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-5-Lesson-20-Problem-Set-Answer-Key-1.png\")
<\/p>\nQuestion 1.
\nUse a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write the complete number sentence. Part (a) is partially completed.
\na. \\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\)
\n<\/p>\n
Answer:
\n2\/8 + 1\/8 = 3\/8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\).
\n1\/4 + 1\/8.
\n1\/4 = 2\/8.
\n2\/8 + 1\/8 = 3\/8.<\/p>\n
b. \\(\\frac{1}{4}\\) + \\(\\frac{1}{12}\\)<\/p>\n
Answer:
\n4\/12 + 1\/12 = 5\/12.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{12}\\).
\n1\/4 + 1\/12.
\n1\/4 = 4\/12.
\n4\/12 + 1\/12 = 5\/12.<\/p>\n
c. \\(\\frac{2}{6}\\) + \\(\\frac{1}{3}\\)<\/p>\n
Answer:
\n2\/6 + 1\/3 = 4\/6.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\).
\n1\/3 + 2\/6.
\n1\/3 = 2\/6.
\n2\/6 + 2\/6 = 4\/6.<\/p>\n
d. \\(\\frac{1}{2}\\) + \\(\\frac{3}{8}\\)<\/p>\n
Answer:
\n1\/2 + 3\/8 = 6\/8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\).
\n1\/2 + 3\/8.
\n1\/2 = 3\/8.
\n3\/8 + 3\/8 = 6\/8.<\/p>\n
e. \\(\\frac{3}{10}\\) + \\(\\frac{3}{5}\\)<\/p>\n
Answer:
\n3\/10 + 3\/5 = 9\/10.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\).
\n3\/10 + 3\/5.
\n3\/5 = 3\/10.
\n3\/10 + 3\/5 = 9\/10.<\/p>\n
f. \\(\\frac{2}{3}\\) + \\(\\frac{2}{9}\\)<\/p>\n
Answer:
\n2\/3 + 2\/9 = 4\/9.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{3}\\) + \\(\\frac{2}{9}\\).
\n2\/9 + 2\/3.
\n2\/3 = 2\/9.
\n2\/3 + 2\/9 = 4\/9.<\/p>\n
Question 2.
\nEstimate to determine if the sum is between 0 and 1 or 1 and 2. Draw a number line to model the addition. Then, write a complete number sentence. Part (a) has been completed for you.
\na. ![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-5-Lesson-20-Problem-Set-Answer-Key-2.png\")
<\/p>\n
Answer:
\n1\/2 + 1\/4 = 3\/4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1\/2 + 1\/4.
\n2\/4 = 1\/2.
\n2\/4 + 1\/4 = 3\/4.
\n1\/2 + 1\/4 = 3\/4.<\/p>\n
b. \\(\\frac{1}{2}\\) + \\(\\frac{4}{10}\\)<\/p>\n
Answer:
\n1\/2 + 4\/10 = 9\/10.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1\/2 + 4\/10.
\n5\/10 = 1\/2.
\n5\/10 + 4\/10 = 9\/10.
\n1\/2 + 4\/10 = 9\/10.<\/p>\n
c. \\(\\frac{6}{10}\\) + \\(\\frac{1}{2}\\)<\/p>\n
Answer:
\n6\/10 + 1\/2 = 11\/10.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1\/2 + 6\/10.
\n5\/10 = 1\/2.
\n5\/10 + 6\/10 = 11\/10.
\n1\/2 + 6\/10 = 11\/10.<\/p>\n
d. \\(\\frac{2}{3}\\) + \\(\\frac{3}{6}\\)<\/p>\n
Answer:
\n2\/3 + 3\/6 = 5\/6.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n2\/3 + 3\/6.
\n2\/3 + 3\/6 = 5\/6.<\/p>\n
e. \\(\\frac{3}{4}\\) + \\(\\frac{6}{8}\\)<\/p>\n
Answer:
\n3\/4 + 6\/8 = 6\/4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3\/4 + 6\/8.
\n6\/8 = 3\/4.
\n3\/4 + 3\/4 = 6\/4.
\n3\/4 + 6\/8 = 6\/4.<\/p>\n
f. \\(\\frac{4}{10}\\) + \\(\\frac{6}{5}\\)<\/p>\n
Answer:
\n4\/10 + 6\/5 = 8\/5.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n4\/10 + 6\/5.
\n4\/10 = 2\/5.
\n6\/5 + 2\/5 = 8\/5.
\n6\/5 + 4\/10 = 8\/5.<\/p>\n
Question 3.
\nSolve the following addition problem without drawing a model. Show your work.
\n\\(\\frac{2}{3}\\) + \\(\\frac{4}{6}\\)<\/p>\n
Answer:
\n2\/3 + 4\/6 = 4\/3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n2\/3 + 4\/6.
\n4\/6 = 2\/3.
\n2\/3 + 2\/3 = 4\/3.
\n2\/3 + 4\/6 = 4\/3.<\/p>\n
Question 1. Answer: Explanation: Question 2. Answer: Explanation: Question 1. Answer: Explanation: b. \\(\\frac{1}{2}\\) + \\(\\frac{1}{4}\\)<\/p>\n Answer: Explanation: c. \\(\\frac{3}{4}\\) + \\(\\frac{1}{8}\\)<\/p>\n Answer: Explanation: d. \\(\\frac{1}{4}\\) + \\(\\frac{5}{12}\\)<\/p>\n Answer: Explanation: e. \\(\\frac{3}{8}\\) + \\(\\frac{1}{2}\\)<\/p>\n Answer: Explanation: f. \\(\\frac{3}{5}\\) + \\(\\frac{3}{10}\\)<\/p>\n Answer: Explanation: Question 2. a. Answer: Explanation: b. \\(\\frac{3}{5}\\) + \\(\\frac{7}{10}\\)<\/p>\n Answer: Explanation: c. \\(\\frac{5}{12}\\) + \\(\\frac{1}{4}\\)<\/p>\n Answer: Explanation: d. \\(\\frac{3}{4}\\) + \\(\\frac{5}{8}\\)<\/p>\n Answer: Explanation: e. \\(\\frac{7}{8}\\) + \\(\\frac{3}{4}\\)<\/p>\n Answer: Explanation: f. \\(\\frac{1}{6}\\) + \\(\\frac{5}{3}\\)<\/p>\n Answer: Explanation: Question 3. Answer: Explanation: Engage NY Eureka Math 4th Grade Module 5 Lesson 20 Answer Key Question 1. Use a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write the complete number sentence. Part (a) is partially completed. a. + Answer: 2\/8 + 1\/8 = 3\/8. Explanation: In the above-given … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60863"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=60863"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60863\/revisions"}],"predecessor-version":[{"id":136682,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60863\/revisions\/136682"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=60863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=60863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=60863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n<\/span>Draw a number line to model the addition. Solve, and then write a complete number sentence.
\n<\/span>\\(\\frac{5}{8}\\) + \\(\\frac{2}{4}\\)<\/span><\/p>\n
\n5\/8 + 2\/4 = 7\/8.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n5\/8 + 2\/4.
\n4, 8 = 8.
\n5\/8 + 2\/4 = 7\/8.<\/p>\n
\nSolve without drawing a model.
\n\\(\\frac{3}{4}\\) + \\(\\frac{1}{2}\\)<\/p>\n
\n3\/4 + 1\/2 = 4\/4.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n3\/4 + 1\/2.
\nl.c.m of 4, 2 = 4.
\n3\/4 + 1\/2 = 4\/4.
\n3\/4 + 1\/2 = 1.<\/p>\nEureka Math Grade 4 Module 5 Lesson 20 Homework Answer Key<\/h3>\n
\nUse a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write the complete number sentence.
\na. \\(\\frac{1}{3}\\) + \\(\\frac{1}{6}\\)<\/p>\n
\n1\/3 + 1\/6 = 2\/6.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n1\/3 + 1\/6.
\nl.c.m of 3,6 = 6.
\n1\/3 + 1\/6 = 2\/6.<\/p>\n
\n1\/2 + 1\/4 = 2\/4.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n1\/2 + 1\/4.
\nl.c.m of 2, 4 = 4.
\n1\/2 + 1\/4 = 2\/4.<\/p>\n
\n3\/4 + 1\/8 = 4\/8.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n3\/4 + 1\/8.
\nL.C.M of 4,8 = 4.
\n3\/4 + 1\/8 = 4\/8.<\/p>\n
\n1\/4 + 5\/12 = 6\/12.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n1\/4 + 5\/12.
\nl.c.m of 4,12 = 12.
\n1\/4 + 5\/12 = 6\/12.<\/p>\n
\n3\/8 + 1\/2 = 7\/8.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n3\/8 + 1\/2.
\n4\/8 = 1\/2.
\n3\/8 + 4\/8 = 7\/8.
\n3\/8 + 1\/2 = 7\/8.<\/p>\n
\n3\/5 + 3\/10 = 6\/10.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n3\/5 + 3\/10.
\n3\/5 + 3\/10 = 6\/10.<\/p>\n
\nEstimate to determine if the sum is between 0 and 1 or 1 and 2. Draw a number line to model the addition. Then, write a complete number sentence. The first one has been completed for you.<\/p>\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-5-Lesson-20-Homework-Answer-Key-3.png\")
<\/p>\n
\n1\/3 + 1\/6 = 2\/6.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{3}\\) + \\(\\frac{1}{6}\\).
\n1\/3 + 1\/6.
\nl.c.m of 3,6 = 6.
\n1\/3 + 1\/6 = 2\/6.<\/p>\n
\n3\/5 + 7\/10 = 10\/10.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{5}\\) + \\(\\frac{7}{10}\\).
\n3\/5 + 7\/10.
\nL.c.m of 5,10 = 10.
\n3\/5 + 7\/10 = 10\/10.<\/p>\n
\n5\/12 + 1\/4 = 2\/4.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{12}\\) + \\(\\frac{1}{4}\\).
\n5\/12 + 1\/4.
\n5\/12 = 1\/4.
\n5\/12 + 1\/4 = 2\/4.<\/p>\n
\n3\/4 + 5\/8 = 8\/8.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{3}{4}\\) + \\(\\frac{5}{8}\\).
\n3\/4 + 5\/8.
\nl.c.m of 4,8 = 8.
\n3\/4 + 5\/8 = 8\/8.<\/p>\n
\n7\/8 + 3\/4 = 10\/8.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{7}{8}\\) + \\(\\frac{3}{4}\\).
\n7\/8 + 3\/4.
\nl.c.m of 8,4 = 8.
\n7\/8 + 3\/4 = 10\/8.<\/p>\n
\n1\/6 + 5\/3 = 6\/6.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{8}\\).
\n1\/6 + 5\/3.
\nl.c.m of 6,3 = 6.
\n1\/6 + 5\/3 = 6\/6.<\/p>\n
\nSolve the following addition problem without drawing a model. Show your work.
\n\\(\\frac{5}{6}\\) + \\(\\frac{1}{3}\\)<\/p>\n
\n5\/6 + 1\/3 = 6\/6.<\/p>\n
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{6}\\) + \\(\\frac{1}{3}\\).
\n5\/6 + 1\/3.
\nl.c.m of 6,3 = 6.
\n5\/6 + 1\/3 = 6\/6.<\/p>\n","protected":false},"excerpt":{"rendered":"