Question 1.
\nMrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes? Draw a picture to support your response.<\/p>\n
Answer:
\nMrs. Silverstein can serve 12 guests a quarter of the cake.<\/p>\n
Explanation:
\nHere, Mrs. Silverstein bought 3 mini cakes for a birthday party, and she cuts each cake into quarters and plans to serve each guest 1 quarter of a cake, so the number of guests can she serve with all her cakes is 3 \u00f7 \\(\\frac{1}{4}\\) which is 12, here 4 fourths are 1 whole and 12 fourths are 3 wholes. So Mrs. Silverstein can serve 12 guests a quarter of the cake.<\/p>\n
Question 2.
\nMr. Pham has \\(\\frac{1}{4}\\) pan of lasagna left in the refrigerator. He wants to cut the lasagna into equal slices so he can have it for dinner for 3 nights. How much lasagna will he eat each night? Draw a picture to support your response.<\/p>\n
Answer:
\nMr. Pham will eat \\(\\frac{1}{12}\\) of the lasagna each night.<\/p>\n
Explanation:
\nHere, Mr. Pham has \\(\\frac{1}{4}\\) pan of lasagna left in the refrigerator and he wants to cut the lasagna into equal slices so he can have it for dinner for 3 nights, so Mr. Pham will eat \\(\\frac{1}{4}\\) \u00f7 3, here 1 fourth \u00f7 3 which is 3 twelfths \u00f7 3 which is 1 twelfths. So, Mr. Pham will eat \\(\\frac{1}{12}\\) of the lasagna each night.<\/p>\n
Question 3.
\nThe perimeter of a square is \\(\\frac{1}{5}\\) of a meter.
\na. Find the length of each side in meters. Draw a picture to support your response.<\/p>\n
Answer:
\nThe length of each side is \\(\\frac{1}{20}\\) meter.<\/p>\n
Explanation:
\nGiven the perimeter is \\(\\frac{1}{5}\\) meter and the length of each side is, as the square has four sides and all sides are equal, so \\(\\frac{1}{5}\\) \u00f7 4 which is the side length
\n\\(\\frac{1}{5}\\) \u00f7 4 = 1 fifth \u00f7 4
\n= 4 twentieths \u00f7 4
\n= 1 twentieth.
\nSo the length of each side is \\(\\frac{1}{20}\\) meter.<\/p>\n
b. How long is each side in centimeters?<\/p>\n
Answer:
\nThe length of each side in centimeters is 5 cm.<\/p>\n
Explanation:
\nAs the length of each side is \\(\\frac{1}{20}\\) meter, so the length of each side in centimeters is
\n\\(\\frac{1}{20}\\) meter = \\(\\frac{1}{20}\\) \u00d7 100
\non solving, we will get the result as 5 cm.
\nSo the length of each side in centimeters is 5 cm.<\/p>\n
Question 4.
\nA pallet holding 5 identical crates weighs \\(\\frac{1}{4}\\) of a ton.
\na. How many tons does each crate weigh? Draw a picture to support your response.<\/p>\n
Answer:
\nEach carte weighs is \\(\\frac{1}{20}\\) ton.<\/p>\n
Explanation:
\nGiven that a pallet holding 5 identical crates weighs \\(\\frac{1}{4}\\) of a ton, so the number of tons does each crate weigh is \\(\\frac{1}{4}\\) \u00f7 5 = 1 fourth \u00f7 4
\n= 5 twentieths \u00f7 5
\n= 1 twentieth.
\nSo each carte weighs is \\(\\frac{1}{20}\\) ton.<\/p>\n
b. How many pounds does each crate weigh?<\/p>\n
Answer:
\nThe number of pounds does each carte weighs is 100 pounds.<\/p>\n
Explanation:
\nAs we know that each carte weighs \\(\\frac{1}{20}\\) ton, so the number of pounds is
\n\\(\\frac{1}{20}\\) meter = \\(\\frac{1}{20}\\) \u00d7 2000 pounds
\non solving, we will get the result as 100 pounds.
\nSo the number of pounds does each carte weighs is 100 pounds.<\/p>\n
Question 5.
\nFaye has 5 pieces of ribbon, each 1 yard long. She cuts each ribbon into sixths.
\na. How many sixths will she have after cutting all the ribbons?<\/p>\n
Answer:
\nFaye will have 30 sixths after cutting all the ribbons.<\/p>\n
Explanation:
\nGiven that Faye has 5 pieces of ribbon and each 1 yard long and then she cuts each ribbon into sixths. So the number of sixths will she have after cutting all the ribbons is
\n1 \u00f7 \\(\\frac{1}{6}\\) which is 6
\n6 sixth in 1-yard and 30 sixths in 5 yards.
\nSo Faye will have 30 sixths after cutting all the ribbons.<\/p>\n
b. How long will each of the sixths be in inches?<\/p>\n
Answer:
\nThe length of each of the sixths be in inches is 6 in.<\/p>\n
Explanation:
\nAs each sixth is \\(\\frac{1}{6}\\) of a yard, so the length of each of the sixths be in inches is
\n\\(\\frac{1}{6}\\) \u00d7 1 yard
\n= \\(\\frac{1}{6}\\) \u00d7 36
\non solving, we will get the result as 6 in.
\nso the length of each of the sixths be in inches is 6 in.<\/p>\n
Question 6.
\nA glass pitcher is filled with water. \\(\\frac{1}{8}\\) of the water is poured equally into 2 glasses.
\na. What fraction of the water is in each glass?<\/p>\n
Answer:
\nThe fraction of the water is in each glass is \\(\\frac{1}{16}\\).<\/p>\n
Explanation:
\nGiven that a glass pitcher is filled with water and \\(\\frac{1}{8}\\) of the water is poured equally into 2 glasses. So the fraction of the water is in each glass is \\(\\frac{1}{8}\\) \u00d7 \\(\\frac{1}{2}\\) which is \\(\\frac{1}{16}\\).<\/p>\n
b. If each glass has 3 fluid ounces of water in it, how many fluid ounces of water were in the full pitcher?<\/p>\n
Answer:
\nThere are 48 fluid ounces in the full pitcher.<\/p>\n
Explanation:
\nGiven that each glass has 3 fluid ounces of water in it and the fluid ounces of water were in the full pitcher was
\n3 \u00d7 2 = 6,
\nas 1 unit = 6, so 8 units is 8 \u00d7 6 = 48.
\nSo there are 48 fluid ounces in the full pitcher.<\/p>\n
c. If \\(\\frac{1}{4}\\) of the remaining water is poured out of the pitcher to water a plant, how many cups of water are left in the pitcher?<\/p>\n
Answer:
\nThe number of cups of water is left in the pitcher is 3 \\(\\frac{15}{16}\\) cups<\/p>\n
Explanation:
\nGiven that \\(\\frac{1}{4}\\) of the remaining water is poured out of the pitcher to water a plant, so the number of cups of water is left in the pitcher is
\n\\(\\frac{3}{4}\\) of 42
\n\\(\\frac{3}{4}\\) \u00d7 42, on solving we will get the result as \\(\\frac{63}{2}\\) which is 3 \\(\\frac{15}{16}\\) cups of water left in the pitcher.<\/p>\n
Question 1.
\nKevin divides 3 pieces of paper into fourths. How many fourths does he have? Draw a picture to support your response.<\/p>\n
Answer:
\nThe number of fourths does he have is 12.<\/p>\n
Explanation:
\nAs Kevin divides 3 pieces of paper into fourths and the number of fourths does he have is
\nNumber of fourths = Number pieces of paper \u00f7 one fourth
\n= 3 \u00f7 \\(\\frac{1}{4}\\)
\n= 3 \u00d7 4
\n= 12.
\nSo, the number of fourths does he have is 12.<\/p>\n
Question 2.
\nSybil has \\(\\frac{1}{2}\\) of a pizza leftover. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will Sybil and her 3 friends each receive? Draw a picture to support your response.<\/p>\n
Answer:
\nThe fraction of the original pizza will Sybil and her 3 friends each receives is \\(\\frac{1}{6}\\).<\/p>\n
Explanation:
\nGiven that Sybil has \\(\\frac{1}{2}\\) of a pizza leftover and she wants to share the pizza with 3 of her friends, so the fraction of the original pizza will Sybil and her 3 friends each receives is \\(\\frac{1}{2}\\) \u00f7 3
\non solving we will get the result as \\(\\frac{1}{6}\\).<\/p>\n
Question 1.
\nKelvin ordered four pizzas for a birthday party. The pizzas were cut in eighths. How many slices were there? Draw a picture to support your response.<\/p>\n
Answer:
\nThe number of slices were there is 32 slices.<\/p>\n
Explanation:
\nGiven that Kelvin ordered four pizzas for a birthday party and he cuts into eighths, so the number of slices were there is
\nas 1 pizza have 8 slices and for 4 pizza it will be
\n4 \u00d7 8 = 32 slices.<\/p>\n
Question 2.
\nVirgil has \\(\\frac{1}{6}\\) of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive? Draw a picture to support your response.<\/p>\n
Answer:
\nThe fraction of the original cake will each of the 4 people receives is \\(\\frac{1}{24}\\).<\/p>\n
Explanation:
\nGiven that Virgil has \\(\\frac{1}{6}\\) of a birthday cake left over and he share the leftover cake with 3 friends, so the fraction of the original cake will each of the 4 people receives is \\(\\frac{1}{6}\\) \u00f7 4
\n\\(\\frac{1}{6}\\) \u00d7 \\(\\frac{1}{4}\\) on solving we will get the result as \\(\\frac{1}{24}\\).<\/p>\n
Question 3.
\nA pitcher of water contains \\(\\frac{1}{4}\\) liters of water. The water is poured equally into 5 glasses.
\na. How many liters of water are in each glass? Draw a picture to support your response.<\/p>\n
Answer:
\nThe number of liters of water are in each glass is \\(\\frac{1}{20}\\) liters.<\/p>\n
Explanation:
\nGiven that a pitcher of water contains \\(\\frac{1}{4}\\) liters of water and then he poured equally into 5 glasses, so the number of liters of water are in each glass is \\(\\frac{1}{4}\\) \u00f7 5
\n\\(\\frac{1}{4}\\) \u00d7 \\(\\frac{1}{5}\\) on solving we will get the result as \\(\\frac{1}{20}\\).<\/p>\n
b. Write the amount of water in each glass in milliliters.<\/p>\n
Answer:
\nThe amount of water in each glass in milliliters is 50 milliliters.<\/p>\n
Explanation:
\nThe number of liters of water are in each glass is \\(\\frac{1}{20}\\) liters, so the amount of water in each glass in milliliters is \\(\\frac{1}{20}\\) \u00d7 1000, on solving we will get the result as 50 milliliters.<\/p>\n
Question 4.
\nDrew has 4 pieces of rope 1 meter long each. He cuts each rope into fifths.
\na. How many fifths will he have after cutting all the ropes?<\/p>\n
Answer:
\nThe number of fifths will he have after cutting all the ropes 20.<\/p>\n
Explanation:
\nHere, we have 4 pieces of rope 1 meter long each and he cuts each rope into fifths, so the number of fifths will he have after cutting all the ropes 5 \u00d7 4 = 20.<\/p>\n
b. How long will each of the fifths be in centimeters?<\/p>\n
Answer:
\nThe length of the each of the fifths be in centimeters is 20 cm.<\/p>\n
Explanation:
\nHere, we have given that each rope is 1 meter long, so the length of fifth part will be equal to \\(\\frac{1}{5}\\) which is 0.2 meters which is 20 cm.<\/p>\n
Question 5.
\nA container is filled with blueberries. \\(\\frac{1}{6}\\) of the blueberries is poured equally into two bowls.
\na. What fraction of the blueberries is in each bowl?<\/p>\n
b. If each bowl has 6 ounces of blueberries in it, how many ounces of blueberries were in the full container?<\/p>\n
c. If \\(\\frac{1}{5}\\) of the remaining blueberries is used to make muffins, how many pounds of blueberries are left in the container?<\/p>\n
Answer:
\na. The fraction of the blueberries is in each bowl is \\(\\frac{1}{12}\\).<\/p>\n
b. The number of ounces of blueberries were in the full container is 36 ounces of blueberries.<\/p>\n
c. The number of pounds of blueberries are left in the container is 30 ounces.<\/p>\n
Explanation:
\na. Given that the container is filled with blueberries and \\(\\frac{1}{6}\\) of the blueberries is poured equally into two bowls, so the fraction of the blueberries is in each bowl is \\(\\frac{1}{6}\\) \u00d7 \\(\\frac{1}{2}\\) on solving we will get the result as \\(\\frac{1}{12}\\).<\/p>\n
b. As the each bowl has 6 ounces of blueberries in it, so the number of ounces of blueberries were in the full container is 6 \u00d7 6 which is 36 ounces of blueberries.<\/p>\n
c. As there are \\(\\frac{1}{5}\\) of the remaining blueberries is used to make muffins, so the number of pounds of blueberries are left in the container is \\(\\frac{1}{5}\\) \u00d7 \\(\\frac{5}{6}\\) \u00d7 36 on solving we will get the result as \\(\\frac{180}{30}\\) = 30 ounces.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 5th Grade Module 4 Lesson 27 Answer Key Eureka Math Grade 5 Module 4 Lesson 27 Problem Set Answer Key Question 1. Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake. How many … 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\/65214"}],"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=65214"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/65214\/revisions"}],"predecessor-version":[{"id":135267,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/65214\/revisions\/135267"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=65214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=65214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=65214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}