{"id":148835,"date":"2023-12-05T15:27:11","date_gmt":"2023-12-05T09:57:11","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=148835"},"modified":"2023-12-06T17:27:44","modified_gmt":"2023-12-06T11:57:44","slug":"spectrum-math-grade-6-chapter-3-lesson-1-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-6-chapter-3-lesson-1-answer-key\/","title":{"rendered":"Spectrum Math Grade 6 Chapter 3 Lesson 1 Answer Key Understanding Ratios"},"content":{"rendered":"

Go through the Spectrum Math Grade 6 Answer Key<\/a> Chapter 3 Lesson 3.1 Understanding Ratios<\/b>\u00a0and get the proper assistance needed during your homework.<\/p>\n

Spectrum Math Grade 6 Chapter 3 Lesson 3.1 Understanding Ratios Answers Key<\/h2>\n

A ratio compares 2 numbers. When written out, several phrases can show how the ratio should be written.
\n4 to 2 4:2 \\(\\frac{4}{2}\\) or \\(\\frac{2}{1}\\)
\n6 out of 8 6:8 \\(\\frac{6}{8}\\) or \\(\\frac{3}{4}\\)<\/p>\n

Express each ratio as a fraction in simplest form.<\/strong><\/p>\n

Question 1.
\na. 15 feet out of 36 feet ___________
\nAnswer:
\nFraction in simplest form of 15 feet out of 36 feet is \\(\\frac{5}{12}\\).<\/p>\n

Explanation:
\n15 feet out of 36 feet
\n= 15 \u00f7 36
\n= \\(\\frac{5}{12}\\).<\/p>\n

b. 5 pounds to 35 pounds ______
\nAnswer:
\nFraction in simplest form of 5 pounds to 35 pounds is \\(\\frac{1}{7}\\).<\/p>\n

Explanation:
\n5 pounds to 35 pounds
\n= 5 \u00f7 35
\n= \\(\\frac{1}{7}\\).<\/p>\n

Question 2.
\na. 8 rainy days out of 60 days ___________<\/p>\n

\"a.
\nAnswer:
\nFraction in simplest form of 8 rainy days out of 60 days is \\(\\frac{2}{15}\\).<\/p>\n

Explanation:
\n8 rainy days out of 60 days
\n= 8 \u00f7 60
\n= 4 \u00f7 30
\n= 2 \u00f7 15 or \\(\\frac{2}{15}\\).<\/p>\n

b. 28 snow days out of 49 days ______
\nAnswer:
\nFraction in simplest form of 28 snow days out of 49 days is \\(\\frac{4}{7}\\).<\/p>\n

Explanation:
\n28 snow days out of 49 days
\n= 28 \u00f7 49
\n= 4 \u00f7 7 or \\(\\frac{4}{7}\\).<\/p>\n

Question 3.
\na. 10 pints to 20 pints __________
\nAnswer:
\nFraction in simplest form of 10 pints to 20 pints is<\/p>\n

Explanation:
\n10 pints to 20 pints
\n= 10 \u00f7 20
\n= 1 \u00f7 2 or \\(\\frac{1}{2}\\).<\/p>\n

b. 40 cups to 55 cups ____
\nAnswer:
\nFraction in simplest form of 40 cups to 55 cups is \\(\\frac{8}{11}\\).<\/p>\n

Explanation:
\n40 cups to 55 cups
\n= 40 \u00f7 55
\n= 8 \u00f7 11 or \\(\\frac{8}{11}\\).<\/p>\n

Question 4.
\na. 10 miles out of 12 miles ____________
\nAnswer:
\nFraction in simplest form of 10 miles out of 12 miles is \\(\\frac{5}{6}\\).<\/p>\n

Explanation:
\n10 miles out of 12 miles
\n= 10 \u00f7 12
\n= 5 \u00f7 6 or \\(\\frac{5}{6}\\).<\/p>\n

b. 28 red bikes out of 40 bikes ____<\/p>\n

\"28
\nAnswer:
\nFraction in simplest form of 28 red bikes out of 40 bikes is \\(\\frac{7}{10}\\).<\/p>\n

Explanation:
\n28 red bikes out of 40 bikes
\n= 28 \u00f7 40
\n= 14 \u00f7 20
\n= 7 \u00f7 10 or \\(\\frac{7}{10}\\).<\/p>\n

Question 5.
\na. 18 beetles out of 72 insects ___________
\nAnswer:
\nFraction in simplest form of 18 beetles out of 72 insects is \\(\\frac{1}{4}\\).<\/p>\n

Explanation:
\n18 beetles out of 72 insects
\n= 18 \u00f7 72
\n= 9 \u00f7 36
\n= 1 \u00f7 4 or \\(\\frac{1}{4}\\).<\/p>\n

b. 63 gallons to 8tf gallons ______
\nAnswer:
\nFraction in simplest form of 63 gallons to 8tf gallons is<\/p>\n

Explanation:
\n63 gallons to 8tf gallons
\nConversion:<\/p>\n

Question 6.
\na. 49 dimes out of 77 coins ___________
\nAnswer:
\nFraction in simplest form of 49 dimes out of 77 coins is 490 dimes.<\/p>\n

Explanation:
\n49 dimes out of 77 coins
\nConversion:
\n1 dollar = 100 coins\/cents.
\n= 49 dollars \u00d7 100 coins
\n= 4900 coins.
\n1 dime = 10 coins.
\n=> 4900 coins\u00f7 10
\n=> 490 dimes.<\/p>\n

b. 12 cakes out of 36 cakes ______
\nAnswer:
\nFraction in simplest form of 12 cakes out of 36 cakes is \\(\\frac{1}{3}\\).<\/p>\n

Explanation:
\n12 cakes out of 36 cakes
\n= 12 \u00f7 36
\n= 1 \u00f7 3 or \\(\\frac{1}{3}\\).<\/p>\n

Question 7.
\na. 15 students out of 30 students ____________
\nAnswer:
\nFraction in simplest form of 15 students out of 30 students is \\(\\frac{1}{2}\\).<\/p>\n

Explanation:
\n15 students out of 30 students
\n= 15 \u00f7 30
\n= 1 \u00f7 2 or \\(\\frac{1}{2}\\).<\/p>\n

b. 3 floors out of 18 floors ____
\nAnswer:
\nFraction in simplest form of 3 floors out of 18 floors is \\(\\frac{1}{6}\\).<\/p>\n

Explanation:
\n3 floors out of 18 floors
\n= 3 \u00f7 18
\n= 1 \u00f7 6 or \\(\\frac{1}{6}\\).<\/p>\n

Question 8.
\na. 36 meters out of 100 meters ______
\nAnswer:
\nFraction in simplest form of 36 meters out of 100 meters is \\(\\frac{18}{25}\\).<\/p>\n

Explanation:
\n36 meters out of 100 meters
\n= 36 \u00f7 100
\n= 18 \u00f7 25 or \\(\\frac{18}{25}\\).<\/p>\n

b. 14 hats out of 20 accessories ____
\nAnswer:
\nFraction in simplest form of 14 hats out of 20 accessories is \\(\\frac{7}{10}\\).<\/p>\n

Explanation:
\n14 hats out of 20 accessories
\n= 14 \u00f7 20
\n= 7 \u00f7 10 or \\(\\frac{7}{10}\\).<\/p>\n

Question 9.
\na. 80 scores out of 90 scores ____________
\nAnswer:
\nFraction in simplest form of 80 scores out of 90 scores is \\(\\frac{8}{9}\\).<\/p>\n

Explanation:
\n80 scores out of 90 scores
\n= 80 \u00f7 90
\n= 8 \u00f7 9 or \\(\\frac{8}{9}\\).<\/p>\n

b. 2 sports out of 9 sports ______
\nAnswer:
\nFraction in simplest form of 2 sports out of 9 sports is \\(\\frac{2}{9}\\).<\/p>\n

Explanation:
\n2 sports out of 9 sports
\n= 2 \u00f7 9 or \\(\\frac{2}{9}\\).<\/p>\n

Question 10.
\na. 42 cars out of 124 cars ___________<\/p>\n

\"42
\nAnswer:
\nFraction in simplest form of 42 cars out of 124 cars is \\(\\frac{21}{62}\\).<\/p>\n

Explanation:
\n42 cars out of 124 cars
\n= 42 \u00f7 124
\n= 21 \u00f7 62 or \\(\\frac{21}{62}\\).<\/p>\n

b. 7 messages out of 84 messages __________
\nAnswer:
\nFraction in simplest form of 7 messages out of 84 messages is \\(\\frac{1}{12}\\).<\/p>\n

Explanation:
\n7 messages out of 84 messages
\n= 7 \u00f7 84
\n= 1 \u00f7 12 or \\(\\frac{1}{12}\\).<\/p>\n

Ratios can be written based on the number of objects in a set.<\/strong>
\nThere are 2 bottles of soda and 5 bottles of water in the refrigerator. Write the ratio of sodas to waters.
\nAnswer:
\nThe ratio of sodas to waters = \\(\\frac{2}{5}\\).<\/p>\n

Explanation:
\nNumber of bottles of Soda = 2.
\nNumber of bottles of water = 5.
\nRatio of sodas to waters = Number of bottles of Soda \u00f7 Number of bottles of water
\n= 2 \u00f7 5 or \\(\\frac{2}{5}\\).<\/p>\n

Express each ratio as a fraction in simplest form.<\/strong><\/p>\n

Question 1.
\na. There are 2 cubes and 15 spheres in a geometry box. Write the ratio of spheres to cubes.
\n_____________
\nAnswer:
\nRatio of spheres to cubes = \\(\\frac{15}{2}\\).<\/p>\n

Explanation:
\nNumber of cubes in a geometry box = 2.
\nNumber of spheres in a geometry box = 15.
\nRatio of spheres to cubes = Number of spheres in a geometry box \u00f7 Number of cubes in a geometry box
\n= 15 \u00f7 2 or \\(\\frac{15}{2}\\).<\/p>\n

b. There are 5 cars and 4 vans in a parking lot. Write the ratio of vans to cars.
\n_____________
\nAnswer:
\nRatio of vans to cars = \\(\\frac{4}{5}\\).<\/p>\n

Explanation:
\nNumber of cars in a parking lot = 5.
\nNumber of vans in a parking lot = 4.
\nRatio of vans to cars = Number of vans in a parking lot \u00f7 Number of cars in a parking lot
\n= 4 \u00f7 5 or \\(\\frac{4}{5}\\).<\/p>\n

Question 2.
\na. There are 5 horses and 15 elephants in a circus. Write the ratio of elephants to horses.
\n_____________
\nAnswer:
\nRatio of elephants to horses = 3.<\/p>\n

Explanation:
\nNumber of horses in a circus = 5.
\nNumber of elephants in a circus = 15.
\nRatio of elephants to horses = Number of elephants in a circus \u00f7 Number of horses in a circus
\n= 15 \u00f7 5
\n= 3 \u00f7 1
\n= 3.<\/p>\n

b. There are 16 horses and 14 elephants in a circus. Write the ratio of horses to elephants.
\n_____________<\/p>\n

\"There
\nAnswer:
\nRatio of horses to elephants = \\(\\frac{8}{7}\\).<\/p>\n

Explanation:
\nNumber of horses in a circus = 16.
\nNumber of elephants in a circus = 14.
\nRatio of horses to elephants = Number of horses in a circus \u00f7 Number of elephants in a circus
\n= 16 \u00f7 14
\n= 8 \u00f7 7 or \\(\\frac{8}{7}\\).<\/p>\n

Question 3.
\na. There are 11 blue marbles and 7 red marbles in a box. Write the ratio of red marbles to blue marbles.
\n_____________
\nAnswer:
\nRatio of red marbles to blue marbles = \\(\\frac{7}{11}\\).<\/p>\n

Explanation:
\nNumber of blue marbles in a box = 11.
\nNumber of red marbles in a box = 7.
\nRatio of red marbles to blue marbles = Number of red marbles in a box \u00f7 Number of blue marbles in a box
\n= 7 \u00f7 11 or \\(\\frac{7}{11}\\).<\/p>\n

b. There are 12 apples and 15 oranges in a fruit basket. Write the ratio of apples to oranges.
\n_____________
\nAnswer:
\nRatio of apples to oranges = \\(\\frac{4}{5}\\).<\/p>\n

Explanation:
\nNumber of apples in a fruit basket = 12.
\nNumber of oranges in a fruit basket = 15.
\nRatio of apples to oranges = Number of apples in a fruit basket \u00f7 Number of oranges in a fruit basket
\n= 12 \u00f7 15
\n= 4 \u00f7 5 or \\(\\frac{4}{5}\\).<\/p>\n

Question 4.
\na. There are 5 blue marbles and 16 red marbles in a box. Write the ratio of blue marbles to red marbles.
\n_____________
\nAnswer:
\nRatio of blue marbles to red marbles = \\(\\frac{5}{16}\\).<\/p>\n

Explanation:
\nNumber of blue marbles in a box = 5.
\nNumber of red marbles in a box = 16.
\nRatio of blue marbles to red marbles = Number of blue marbles in a box \u00f7 Number of red marbles in a box
\n= 5 \u00f7 16 or \\(\\frac{5}{16}\\).<\/p>\n

b. There are 12 dogs and 7 cats in a park. Write the ratio of cats to dogs.
\n_____________
\nAnswer:
\nRatio of cats to dogs = \\(\\frac{7}{12}\\).<\/p>\n

Explanation:
\nNumber of dogs in a park = 12.
\nNumber of cats in a park = 7.
\nRatio of cats to dogs = Number of cats in a park \u00f7 Number of dogs in a park
\n= 7 \u00f7 12 or \\(\\frac{7}{12}\\).<\/p>\n

Question 5.
\na. There are 14 cars and 7 vans in a parking lot. Write the ratio of cars to vans.
\n_____________
\nAnswer:
\nRatio of cars to vans = 2.<\/p>\n

Explanation:
\nNumber of cars in a parking lot = 14.
\nNumber of vans in a parking lot = 7.
\nRatio of cars to vans = Number of cars in a parking lot \u00f7 Number of vans in a parking lot
\n= 14 \u00f7 7
\n= 2 \u00f7 1
\n= 2.<\/p>\n

b. There are 7 blue marbles and 8 red marbles in a bag. Write the ratio of red marbles to blue marbles.<\/p>\n

\"There
\n_____________
\nAnswer:
\nRatio of red marbles to blue marbles = \\(\\frac{8}{7}\\) or 1\\(\\frac{1}{7}\\).<\/p>\n

Explanation:
\nNumber of blue marbles in a bag = 7.
\nNumber of red marbles in a bag = 8.
\nRatio of red marbles to blue marbles = Number of red marbles in a bag \u00f7 Number of blue marbles in a bag
\n= 8 \u00f7 7
\n= \\(\\frac{8}{7}\\) or 1\\(\\frac{1}{7}\\).<\/p>\n

Question 6.
\na. There are 6 pennies and 10 dimes in a jar. Write the ratio of pennies to dimes.
\n_____________
\nAnswer:
\nRatio of pennies to dimes = \\(\\frac{3}{5}\\).<\/p>\n

Explanation:
\nNumber of pennies in a jar = 6.
\nNumber of dimes in a jar = 10.
\nRatio of pennies to dimes = Number of pennies in a jar \u00f7 Number of dimes in a jar
\n= 6 \u00f7 10
\n= 3 \u00f7 5 or \\(\\frac{3}{5}\\).<\/p>\n

b. There are 24 butterflies and 16 snails on the ground. Write the ratio of butterflies to snails.
\n_____________
\nAnswer:
\nRatio of butterflies to snails = \\(\\frac{3}{2}\\) or 1\\(\\frac{1}{2}\\).<\/p>\n

Explanation:
\nNumber of butteries on the ground = 24.
\nNumber of snails on the ground = 16.
\nRatio of butterflies to snails = Number of butteries on the ground \u00f7 Number of snails on the ground
\n= 24 \u00f7 16
\n= 12 \u00f7 8
\n= 3 \u00f7 2
\n= \\(\\frac{3}{2}\\) or 1\\(\\frac{1}{2}\\).<\/p>\n","protected":false},"excerpt":{"rendered":"

Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.1 Understanding Ratios\u00a0and get the proper assistance needed during your homework. Spectrum Math Grade 6 Chapter 3 Lesson 3.1 Understanding Ratios Answers Key A ratio compares 2 numbers. When written out, several phrases can show how the ratio should be written. 4 to … Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":171683,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[641],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/11\/Spectrum-Math-Grade-6-Chapter-3-Lesson-1-Answer-Key-Understanding-Ratios.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148835"}],"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\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=148835"}],"version-history":[{"count":8,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148835\/revisions"}],"predecessor-version":[{"id":171690,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148835\/revisions\/171690"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/171683"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=148835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=148835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=148835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}