\nShow your work for the memory game in the boxes provided below.
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-8-Exercise-Answer-Key-1.png\")
\nAnswer:
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-6-Module-2-Lesson-8-Exercise-Answer-Key-2.png\")
<\/p>\nExample 1: Introduction to Calculating the Quotient of a Mixed Number and a Fraction<\/p>\n
a. Carll has 4\\(\\frac{1}{2}\\) walls left to paint in order for all the bedrooms in her house to have the same color paint.
\nHowever, she has used almost all of her paint and only has \\(\\frac{5}{6}\\) of a gallon left.
\nHow much paint can she use on each wall in order to have enough to paint the remaining wails?
\nAnswer:
\nWrite the expression: \\(\\frac{5}{6}\\) \u00f7 4\\(\\frac{1}{2}\\)
\nConvert into a fraction: \\(\\frac{9}{2}\\)
\nDivide fractions: \\(\\frac{5}{6} \\div \\frac{9}{2}=\\frac{5}{6} \\times \\frac{2}{9}=\\frac{10}{54} \\text { or } \\frac{5}{27}\\)
\nCarli can use \\(\\frac{5}{27}\\) of a gallon paint on each of the remaining walls.<\/p>\n
b. Calculate the quoitent.
\n\\(\\frac{2}{5} \\div 3 \\frac{4}{7}\\)
\nAnswer:
\nConvert into a fraction: \\(\\frac{25}{7}\\)
\nDivide fractions: \\(\\frac{2}{5} \\div \\frac{25}{7}=\\frac{2}{5} \\times \\frac{7}{25}=\\frac{14}{125}\\)<\/p>\n
Exercise 1.
\nShow your work for the memory game in the boxes provided below.
\n
\nAnswer:
\n<\/p>\n
Calculate each quoitent.<\/p>\n
Question 1.
\n\\(\\frac{2}{5} \\div 3 \\frac{1}{10}\\)
\nAnswer:
\n\\(\\frac{2}{5} \\div \\frac{31}{10}=\\frac{2}{5} \\times \\frac{10}{31}=\\frac{20}{155} \\text { or } \\frac{4}{31}\\)<\/p>\n
Question 2.
\n\\(4 \\frac{1}{3} \\div \\frac{4}{7}\\)
\nAnswer:
\n\\(\\frac{13}{3} \\div \\frac{4}{7}=\\frac{13}{3} \\times \\frac{7}{4}=\\frac{91}{12} \\text { or } 7 \\frac{7}{12}\\)<\/p>\n
Question 3.
\n\\(3 \\frac{1}{6} \\div \\frac{9}{10}\\)
\nAnswer:
\n\\(\\frac{19}{6} \\div \\frac{9}{10}=\\frac{19}{6} \\times \\frac{10}{9}=\\frac{190}{54} \\text { or } \\frac{95}{27} \\text { or } 3 \\frac{28}{54} \\text { or } 3 \\frac{14}{27}\\)<\/p>\n
Question 4.
\n\\(\\frac{5}{8} \\div 2 \\frac{7}{12}\\)
\nAnswer:
\n\\(\\frac{5}{8} \\div \\frac{31}{12}=\\frac{5}{8} \\times \\frac{12}{31}=\\frac{60}{248} \\text { or } \\frac{15}{62}\\)<\/p>\n
Calculate the quoitent.<\/p>\n
Question 1.
\n\\(\\frac{3}{4} \\div 5 \\frac{1}{5}\\)
\nAnswer:
\n\\(\\frac{3}{4} \\div 5 \\frac{1}{5}=\\frac{3}{4} \\div \\frac{26}{5}=\\frac{3}{4} \\times \\frac{5}{26}=\\frac{15}{104}\\)<\/p>\n
Question 2.
\n\\(\\frac{3}{7} \\div 2 \\frac{1}{2}\\)
\nAnswer:
\n\\(\\frac{3}{7} \\div 2 \\frac{1}{2}=\\frac{3}{7} \\div \\frac{5}{2}=\\frac{3}{7} \\times \\frac{2}{5}=\\frac{6}{35}\\)<\/p>\n
Question 3.
\n\\(\\frac{5}{8} \\div 6 \\frac{5}{6}\\)
\nAnswer:
\n\\(\\frac{5}{8} \\div 6 \\frac{5}{6}=\\frac{5}{8} \\div \\frac{41}{6}=\\frac{5}{8} \\times \\frac{6}{41}=\\frac{30}{328} \\text { or } \\frac{15}{164}\\)<\/p>\n
Question 4.
\n\\(\\frac{5}{8} \\div 8 \\frac{3}{10}\\)
\nAnswer:
\n\\(\\frac{5}{8} \\div 8 \\frac{3}{10}=\\frac{5}{8} \\div \\frac{83}{10}=\\frac{5}{8} \\times \\frac{10}{83}=\\frac{50}{664} \\text { or } \\frac{25}{332}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 6th Grade Module 2 Lesson 8 Answer Key Eureka Math Grade 6 Module 2 Lesson 8 Example Answer Key Example 1: Introduction to Calculating the Quotient of a Mixed Number and a Fraction a. Carll has 4 walls left to paint in order for all the bedrooms in her house to … 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\/80233"}],"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=80233"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/80233\/revisions"}],"predecessor-version":[{"id":137650,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/80233\/revisions\/137650"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=80233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=80233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=80233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}