Compare unit fractions (a unique case of fractions with the same numerators) by reasoning about the size of their units. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <.
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Kiana bought two Fruit-by-the-Foot snacks to share with friends. She splits one of them into 3 equal-sized pieces and the other into 8 equal-sized pieces. If Kiana were sharing a piece of Fruit-by-the-Foot with you, which snack would you take a piece from, the 3-piece snack or the 8-piece snack? Explain why.
Locating Fractions Less than One on the Number Line, accessed on March 19, 2019, 11:10 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.Bryce drew this picture:
Then he said,
This shows that $$\frac{\mathbf{1}}{\mathbf{4}}$$ is greater than $$\frac{\mathbf{1}}{\mathbf{2}}$$.
i. $$\frac{1}{4}>\frac{1}{2}$$
ii. $$\frac{1}{4}<\frac{1}{2}$$
iii. $$\frac{1}{4}=\frac{1}{2}$$
iv. $$\frac{1}{2}>\frac{1}{4}$$
v. $$\frac{1}{2}<\frac{1}{4}$$
Comparing Fractions with a Different Whole, accessed on March 28, 2018, 1:21 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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Use <, >, or = to compare.
a. 1 half _____ 1 third
b. $$\frac{1}{8}$$ _____ $$\frac{1}{6}$$
Tatiana ate $$\frac{1}{3}$$ of a small carrot. Louis ate $$\frac{1}{4}$$ of a large carrot. Who ate more? Use words and pictures to explain your answer.
Grade 3 Mathematics > Module 5 > Topic C > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?