\nCircle any fractions that are equivalent to a whole number. Record the whole number below the fraction.
\na. Count by 1 thirds. Start at 0 thirds. End at 6 thirds.
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-5-Lesson-23-Problem-Set-Answer-Key-1.png\")
<\/p>\nQuestion 1.
\nCircle any fractions that are equivalent to a whole number. Record the whole number below the fraction.
\na. Count by 1 thirds. Start at 0 thirds. End at 6 thirds.
\n<\/p>\n
Answer:
\n0\/3, 1\/3, 2\/3, 3\/3, 4\/3, 5\/3, 6\/3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\ncircle any fractions that are equivalent to a whole number.
\ncount by 1 third.
\nstart at 0 thirds.
\nend at 6 thirds.
\n0\/3 + 1 = 1\/3.
\n1\/3 + 1 = 2\/3.
\n2\/3 + 1 = 3\/3.
\n3\/3 + 1 = 4\/3.
\n4\/3 + 1 = 5\/3.
\n5\/3 + 1 = 6\/3.
\n0\/3 = 0, 3\/3 = 1, 6\/3 = 2.
\n![\"Eureka-Math-Grade-4-Module-5-Lesson-23-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-4-Module-5-Lesson-23-Answer-Key-1.png\")
<\/p>\n
b. Count by 1 halves. Start at 0 halves. End at 8 halves.<\/p>\n
Answer:
\n0\/2, 1\/2, 2\/2, 3\/2, 4\/2, 5\/2, 6\/2, 7\/2, 8\/2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\ncircle any fractions that are equivalent to a whole number.
\ncount by 1 half.
\nstart at 0 halves.
\nend at 8 halves.
\n0\/2 + 1 = 1\/2.
\n1\/2 + 1 = 2\/2.
\n2\/2 + 1 = 3\/2.
\n3\/2 + 1 = 4\/2.
\n4\/2 + 1 = 5\/2.
\n5\/2 + 1 = 6\/2.
\n6\/2 + 1 = 7\/2.
\n7\/2 + 1 = 8\/2.
\n0\/2 = 0, 2\/2 = 1, 4\/2 = 2, 6\/2 = 3, 8\/2 = 4.
\n![\"Eureka-Math-Grade-4-Module-5-Lesson-23-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-4-Module-5-Lesson-23-Answer-Key-2.png\")
<\/p>\n
Question 2.
\nUse parentheses to show how to make ones in the following number sentence.
\n\\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) + \\(\\frac{1}{4}\\) = 3<\/p>\n
Answer:
\n1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nuse parantheses to make ones .
\n(1\/4) + (1\/4) + (1\/4) + (1\/4).
\n1\/4 = 0.25.
\n0.25 + 0.25 + 0.25 + 0.25.
\n0.50 + 0.50 = 1.
\n1 + 1 + 1 = 3.<\/p>\n
Question 3.
\nMultiply, as shown below. Draw a number line to support your answer.
\na. 6 \u00d7 \\(\\frac{1}{3}\\)
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-5-Lesson-23-Problem-Set-Answer-Key-10.png\")
<\/p>\n
Answer:
\n6 x 1\/3 = 2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 x 1\/3.
\n3 x 1\/3 + 3 x 1\/3.
\n2 x 3\/3 = 2.
\n2 x 1 = 2.<\/p>\n
b. 6 \u00d7 \\(\\frac{1}{2}\\)<\/p>\n
Answer:
\n6 x 1\/2 = 3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 x 1\/2.
\n3 x 1\/2 + 3 x 1\/2.
\n3 x 2\/2 = 3.
\n3 x 1 = 3.<\/p>\n
c. 12 \u00d7 \\(\\frac{1}{4}\\)<\/p>\n
Answer:
\n12 x 1\/4 = 3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n12 x 1\/4.
\n6 x 1\/4 + 6 x 1\/4.
\n6 x 2\/2 = 3.
\n3 x 1 = 3.<\/p>\n
Question 4.
\nMultiply, as shown below. Write the product as a mixed number. Draw a number line to support your answer.
\na. 7 copies of 1 third
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-5-Lesson-23-Problem-Set-Answer-Key-11.png\")
<\/p>\n
Answer:
\n7 x 1\/3\u00a0 = 7\/3 = 2(1\/3).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/3.
\n(2 x 3\/3) + 1\/3.
\n2 + 1\/3.
\n2(1\/3).<\/p>\n
b. 7 copies of 1 half<\/p>\n
Answer:
\n7 x 1\/2\u00a0 = 7\/2 = 3(1\/2).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/2.
\n(3 x 2\/2) + 1\/2.
\n3 + 1\/2.
\n3(1\/2).<\/p>\n
c. 10 \u00d7 \\(\\frac{1}{4}\\)<\/p>\n
Answer:
\n10 x 1\/4\u00a0 = 10\/4 = 2(2\/4).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n10 x 1\/4.
\n(2 x 4\/4) + 2\/4.
\n2 + 2\/4.
\n2(2\/4).<\/p>\n
d. 14 \u00d7 \\(\\frac{1}{3}\\)<\/p>\n
Answer:
\n14 x 1\/3\u00a0 = 14\/3 = 4(2\/3).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n14 x 1\/3.
\n(4 x 3\/3) + 2\/3.
\n4 + 2\/3.
\n4(2\/3).<\/p>\n
Multiply and write the product as a mixed number. Draw a number line to support your answer.<\/p>\n
Question 1.
\n8 \u00d7 \\(\\frac{1}{2}\\)<\/p>\n
Answer:
\n8 x 1\/2 = 4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 x 1\/2.
\n4 x 1\/2 + 4 x 1\/2.
\n4 x 2\/2 = 4.
\n4 x 1 = 4.<\/p>\n
Question 2.
\n7 copies of 1 fourth<\/p>\n
Answer:
\n7 x 1\/4\u00a0 = 7\/4 = 4(3\/4).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/4.
\n(4 x 2\/2) + 3\/4.
\n4 + 3\/4.
\n4(3\/4).<\/p>\n
Question 3.
\n13 \u00d7 \\(\\frac{1}{3}\\)<\/p>\n
Answer:
\n13 x 1\/3 = 13\/3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n13 x 1\/3.
\n6 x 1\/3 + 7 x 1\/3.
\n13 x 1\/3.
\n13\/3.<\/p>\n
Question 1.
\nCircle any fractions that are equivalent to a whole number. Record the whole number below the fraction.
\na. Count by 1 fourths. Start at 0 fourths. Stop at 6 fourths.
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-5-Lesson-23-Homework-Answer-Key-12.png\")
<\/p>\n
Answer:
\n0\/4, 1\/4, 2\/4, 3\/4, 4\/4, 5\/4, 6\/4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\ncircle any fractions that are equivalent to a whole number.
\ncount by 1 fourth.
\nstart at 0 fourths.
\nend at 6 fourths.
\n0\/4 + 1 = 1\/4.
\n1\/4 + 1 = 2\/4.
\n2\/4 + 1 = 3\/4.
\n3\/4 + 1 = 4\/4.
\n4\/4 + 1 = 5\/4.
\n5\/4 + 1 = 6\/4.
\n0\/4 = 0, 2\/4 = 2, 4\/4 = 1.
\n![\"Eureka-Math-Grade-4-Module-5-Lesson-24-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-4-Module-5-Lesson-24-Answer-Key-1.png\")
<\/p>\n
b. Count by 1 sixths. Start at 0 sixths. Stop at 14 sixths.<\/p>\n
Answer:
\n0\/6, 1\/6, 2\/6, 3\/6, 4\/6, 5\/6, 6\/6, 7\/6, 8\/6, 9\/6, 10\/6, 11\/6, 12\/6, 13\/6, 14\/6.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\ncircle any fractions that are equivalent to a whole number.
\ncount by 1 sixth.
\nstart at 0 sixths.
\nend at 14 sixths.
\n0\/6 + 1 = 1\/6.
\n1\/6 + 1 = 2\/6.
\n2\/6 + 1 = 3\/6.
\n3\/6 + 1 = 4\/6.
\n4\/6 + 1 = 5\/6.
\n5\/6 + 1 = 6\/6.
\n6\/6 + 1 = 7\/6.
\n7\/6 + 1 = 8\/6.
\n8\/6 + 1 = 9\/6.
\n9\/6 + 1 = 10\/6.
\n10\/6 + 1 = 11\/6.
\n11\/6 + 1 = 12\/6.
\n12\/6 + 1 = 13\/6.
\n13\/6 + 1 = 14\/6.
\n0\/6 = 0, 12\/6 = 2, 6\/6 = 1.
\n![\"Eureka-Math-Grade-4-Module-5-Lesson-24-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-4-Module-5-Lesson-24-Answer-Key-2.png\")
<\/p>\n
Question 2.
\nUse parentheses to show how to make ones in the following number sentence.
\n\\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) + \\(\\frac{1}{3}\\) = 4<\/p>\n
Answer:
\n1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3 + 1\/3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nuse parantheses to make ones .
\n(1\/3) + (1\/3) + (1\/3) + (1\/3).
\n1\/3 = 0.75.
\n0.75 + 0.75 + 0.75 + 0.75.
\n1.5 + 1.5 = 3.
\n3 + 1 = 4.<\/p>\n
Question 3.
\nMultiply, as shown below. Draw a number line to support your answer.
\na. 6 \u00d7 \\(\\frac{1}{3}\\)
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-5-Lesson-23-Homework-Answer-Key-13.png\")
<\/p>\n
Answer:
\n6 x 1\/3 = 2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 x 1\/3.
\n3 x 1\/3 + 3 x 1\/3.
\n2 x 3\/3 = 2.
\n2 x 1 = 2.<\/p>\n
b. 10 \u00d7 \\(\\frac{1}{2}\\)<\/p>\n
Answer:
\n10 x 1\/2 = 5.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n10 x 1\/2.
\n5 x 1\/2 + 5 x 1\/2.
\n5 x 2\/2 = 5.
\n5 x 1 = 5.<\/p>\n
c. 8 \u00d7 \\(\\frac{1}{4}\\)<\/p>\n
Answer:
\n8 x 1\/4 = 2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 x 1\/4.
\n4 x 1\/4 + 4 x 1\/4.
\n2 x 4\/4 = 2.
\n2 x 1 = 2.<\/p>\n
Question 4.
\nMultiply, as shown below. Write the product as a mixed number. Draw a number line to support your answer.
\na. 7 copies of 1 third
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-5-Lesson-23-Homework-Answer-Key-14.png\")
<\/p>\n
Answer:
\n7 x 1\/3\u00a0 = 7\/3 = 2(1\/3).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/3.
\n(2 x 3\/3) + 1\/3.
\n2 + 1\/3.
\n2(1\/3).<\/p>\n
b. 7 copies of 1 fourth<\/p>\n
Answer:
\n7 x 1\/4\u00a0 = 7\/4 = 1(3\/4).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/4.
\n(1 x 4\/4) + 3\/4.
\n1 + 3\/4.
\n1(3\/4).<\/p>\n
c. 11 groups of 1 fifth<\/p>\n
Answer:
\n11 x 1\/5\u00a0 = 11\/5 = 2(1\/5).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n11 x 1\/5.
\n( 2 x 5\/5) + 1\/5.
\n2 + 1\/5.
\n2(1\/5).<\/p>\n
d. 7 \u00d7 \\(\\frac{1}{2}\\)<\/p>\n
Answer:
\n7 x 1\/2\u00a0 = 7\/2 = 3(1\/2).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n7 x 1\/2.
\n(3 x 2\/2) + 1\/2.
\n3 + 1\/2.
\n3(1\/2).<\/p>\n
e. 9 \u00d7 \\(\\frac{1}{5}\\)<\/p>\n
Answer:
\n9 x 1\/5\u00a0 = 9\/5 = 1(4\/5).<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nwrite the product as a mixed number.
\n9 x 1\/5.
\n(1 x 5\/5) + 4\/5.
\n1 + 4\/5.
\n1(4\/5).<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 4th Grade Module 5 Lesson 23 Answer Key Eureka Math Grade 4 Module 5 Lesson 23 Problem Set Answer Key Question 1. Circle any fractions that are equivalent to a whole number. Record the whole number below the fraction. a. Count by 1 thirds. Start at 0 thirds. End at 6 … 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\/61030"}],"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=61030"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/61030\/revisions"}],"predecessor-version":[{"id":136679,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/61030\/revisions\/136679"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=61030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=61030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=61030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}