Compare and order fractions using various methods.
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Choose either fraction cards with pictures or fraction cards without pictures for this lesson (see Note in Anchor Task 1).
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Play the following game with a partner using a set of cards (either with pictures or without, see lesson materials). The goal is to compare the two fractions appearing on each card, determining if they are equivalent and, if not, which is larger. Instructions for the activity are as follows:
Comparing Fractions Game, accessed on March 19, 2019, 11:35 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.$$\frac{2}{4},\ \frac{4}{4},\ \frac{1}{4},\ \frac{2}{2},\ \frac{1}{2},\ \frac{4}{2},\ \frac{4}{1}$$
i. $$\frac{1}{4}$$ and $$\frac{1}{2}$$
ii. $$\frac{2}{4}$$ and $$\frac{4}{4}$$
iii. $$\frac{4}{2}$$ and $$2$$
iv. $$\frac{2}{4}$$ and $$\frac{4}{2}$$
Which is closer to 1 on the number line, $$\frac{4}{5}$$ or $$\frac{5}{4}$$? Explain.
Which is Closer to 1?, accessed on March 19, 2019, 11:36 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.
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Arrange your fractions in order from least to greatest. Explain your answer.
a. $$\frac{3}{8},\frac{3}{3},\frac{3}{4}$$
b. $$\frac{4}{6},\frac{2}{6},\frac{7}{6}$$
Two fractions have different numerators and denominators. Is it possible for the two fractions to be located at the same point on the number line? Why or why not?
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