\n
![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-6-Example-Answer-Key-1.png\")
<\/p>\nExample 1.
\nDivide 50 \u00f7 \\(\\frac{2}{3}\\).
\nAnswer:
\nStep 1: Decide on an Interpretation.
\nToday, we use the partitive interpretation and Interpret the divisor, 2 thirds, to be the number of groups. I\u2019m asking myself, \u201c50 is 2 thirds group of what size?\u201d<\/p>\n
Step 2: Draw a model.
\n<\/p>\n
Step 3: Find the answer.
\n2 units = 50
\n1 unit = 50 \u00f7 2 = 25
\n3 units = 3 \u00d7 25 = 75<\/p>\n
Step 4: Choose a unit.
\nAnswers will vary, but dollars will be used throughout the discussion below.<\/p>\n
Step 5: Set up a situation based upon the model.
\nAnswers will vary, but there is a story problem provided in the discussion.<\/p>\n
Example 2.
\nDivide \\(\\frac{1}{2} \\div \\frac{3}{4}\\)
\nAnswer:
\nStep 1: Decide on an interpretation.
\nToday, we use the partitive interpretation and Interpret the divisor, 3 fourths, to be the number of groups. I\u2019m asking myself, \u201c1 half is 3 fourths of what number?\u201d<\/p>\n
Step 2: Draw a model.
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-6-Example-Answer-Key-2.png\")
<\/p>\n
Step 3: Find the answer.
\n3 units = \\(\\frac{1}{2}\\)
\n1 unit = \\(\\frac{1}{2}\\) \u00f7 3 = \\(\\frac{1}{3}\\) of \\(\\frac{1}{2}\\) = \\(\\frac{1}{6}\\)
\n4 units = 4 \u00d7 1 sixth = 4 sixths = \\(\\frac{4}{6}\\)<\/p>\n
Step 4: Choose a unit.
\nAnswers will vary.<\/p>\n
Step 5: Set up a situation based upon the model.
\nAnswers will vary.<\/p>\n
Exercise 1.
\nUsing the same dividend and divisor, work with a partner to create your own story problem. You may use the same unit, dollars, but your situation must be unique. You could try another unit, such as miles, If you prefer.
\nAnswer:
\nPossible story problems:
\n1. Ronaldo has ridden 50 miles during his bicycle race and is \\(\\frac{2}{3}\\) of the way to the finish line. How long is the race?
\n2. Samantha used 50 tickets (\\(\\frac{2}{3}\\) of her total) to trade for a kewpie doll at the fair. How many tickets did she start with?<\/p>\n
Exercise 2.
\nUsing the same dividend and divisor, work with a partner to create your own story problem. Try a different unit.
\nAnswer:
\nPossible story problems:
\n1. Daryl completed 3 fourths of his homework in a half hour. How long does it take Daryl to complete all of his homework?
\n2. A snail saw food sitting a distance away. After traveling for a half foot, a snail had covered \\(\\frac{3}{4}\\) the distance. How far away was the food?<\/p>\n
Question 1.
\n\\(\\frac{15}{16}\\) is 1 sixteenth groups of what size?
\nAnswer:
\n15 sixteenths \u00f7 1 sixteenth = 15. The size of the group is 15.<\/p>\n
Question 2.
\n\\(\\frac{7}{8}\\) teaspoons is \\(\\frac{1}{4}\\) groups of what size?
\nAnswer:
\n7 eighths \u00f7 2 eighths = \\(\\frac{7}{2}\\) = 3\\(\\frac{1}{2}\\). The size of the group is 3\\(\\frac{1}{2}\\).<\/p>\n
Question 3.
\nA 4-cup container of food is \\(\\frac{2}{3}\\) groups of what size?
\nAnswer:
\n12 thirds \u00f7 2 thirds = 6. The size of the group is 6.<\/p>\n
Question 4.
\nWrite a partitive division story problem for 6 \u00f7 \\(\\frac{3}{4}\\).
\nAnswer:
\nAnswers will vary.<\/p>\n
Question 5.
\nWrite a partitive division story problem for \\(\\frac{5}{12}\\) \u00f7 \\(\\frac{1}{6}\\)
\nAnswer:
\nAnswers will vary.<\/p>\n
Question 6.
\nFill In the blank to complete the equation. Then, find the quotient, and draw a model to support your solution.
\na.
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-6-Problem-Set-Answer-Key-3.png\")
\nAnswer:
\n\\(\\frac{1}{4} \\div 7=\\frac{1}{7} \\text { of } \\frac{1}{4}=\\frac{1}{28}\\)<\/p>\n
b.
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-6-Problem-Set-Answer-Key-4.png\")
\nAnswer:
\n\\(\\frac{5}{6} \\div 4=\\frac{1}{4} \\text { of } \\frac{5}{6}=\\frac{5}{24}\\)<\/p>\n
Question 7.
\nThere is \\(\\frac{3}{5}\\) of a pie left. If 4 friends wanted to share the pie equally, how much would each friend receive?
\nAnswer:
\n\\(\\frac{3}{5} \\div 4=\\frac{3}{5} \\times \\frac{1}{4}=\\frac{3}{20}\\)
\nEach friend would receive \\(\\frac{3}{20}\\) of the pie.<\/p>\n
Question 8.
\nIn two hours, Holden completed \\(\\frac{3}{4}\\) of his race. How long will it take Holden to complete the entire race?
\nAnswer:
\n2 \u00f7 \\(\\frac{3}{4}\\) = 8 fourths = \\(\\frac{8}{3}\\) = 2\\(\\frac{2}{3}\\)
\nIt will take Holden 2\\(\\frac{2}{3}\\) hews to complete the race.<\/p>\n
Question 9.
\nSam cleaned \\(\\frac{1}{3}\\) of his house in 50 minutes. How many hours will it take him to clean his entire house?
\nAnswer:
\n50 minutes = \\(\\frac{1}{60} \\frac{\\text { hour }}{\\text { minutes }}\\) = \\(\\frac{5}{6}\\) hours
\n\\(\\frac{5}{6} \\div \\frac{1}{3}\\) = 5 sixths \u00f7 2 sixths = \\(\\frac{5}{2}\\) = 2\\(\\frac{1}{2}\\)
\nIt will take Sam 2\\(\\frac{1}{2}\\) hours to clean his entire house.<\/p>\n
Question 10.
\nIt took Mario 10 months to beat \\(\\frac{5}{8}\\) of the levels on his new video game. How many years will it take for Mario to beat all the levels?
\nAnswer:
\n10 months = \\(\\frac{1}{12} \\frac{\\text { year }}{\\text { month } s}\\) = \\(\\frac{10}{12}\\) years = \\(\\frac{5}{6}\\) years
\n\\(\\frac{5}{6} \\div \\frac{5}{8}=\\frac{20}{24} \\div \\frac{15}{24}=\\frac{20}{15}=1 \\frac{1}{3}\\)
\nMario will need 1\\(\\frac{1}{3}\\) years to beat all the levels.<\/p>\n
Question 11.
\nA recipe calls for 1\\(\\frac{1}{2}\\) cups of sugar. Marley only has measuring cups that measure \\(\\frac{1}{4}\\) cup. How many times will Marley have to fill the measuring cup?
\nAnswer:
\n\\(1 \\frac{1}{2} \\div \\frac{1}{4}=\\frac{3}{2} \\div \\frac{1}{4}=\\frac{6}{4} \\div \\frac{1}{4}=6\\)
\nMarley will have to use the measuring cup 6 times.<\/p>\n
Question 1.
\nWrite a story problem using the partitive Interpretation of division for the following: 25 \u00f7 \\(\\frac{5}{8}\\) = 40.
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-6-Exit-Ticket-Answer-Key-5.png\")
\nAnswer:
\nZolanda spent \\(\\frac{5}{8}\\) of her class period, or 25 minutes, taking notes. How long was the class period? (Accept any other reasonable story problem showing 25 \u00f7 \\(\\frac{5}{8}\\) = 40.)<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 6th Grade Module 2 Lesson 6 Answer Key Eureka Math Grade 6 Module 2 Lesson 6 Example Answer Key Example 1. Divide 50 \u00f7 . Answer: Step 1: Decide on an Interpretation. Today, we use the partitive interpretation and Interpret the divisor, 2 thirds, to be the number of groups. I\u2019m … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79787"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=79787"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79787\/revisions"}],"predecessor-version":[{"id":91889,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79787\/revisions\/91889"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=79787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=79787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=79787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}