Comparing and Ordering Fractions 4.N.2.2

Comparing & Ordering Fractions

Open Ended

Put the fractions in order from least to greatest. $$\frac{5}{10},\ \frac{3}{8},\ \frac{4}{5},\ \frac{5}{9}$$

Explain your strategy.

Strategies to Compare

• If they have the same denominators, compare the numerator

• If they have the same numerator, compare the denominator

• Compare to the benchmarks 0, 1/2, and 1

• Draw a picture

• Use fraction numberlines

• Cross multiply

Multiple Choice

Compare

$$\frac{2}{5}$$ ____ $$\frac{3}{5}$$

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What can you tell me about these fractions?

Multiple Choice

Compare

$$\frac{3}{10}$$ ____ $$\frac{3}{5}$$

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Multiple Choice

Compare

$$\frac{1}{4}$$ ____ $$\frac{1}{6}$$

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Categorize

Options (12)

$$\frac{1}{3}$$  

$$\frac{4}{9}$$  

$$\frac{1}{7}$$  

$$\frac{2}{4}$$  

$$\frac{10}{20}$$  

$$\frac{5}{6}$$  

$$\frac{5}{8}$$  

$$\frac{2}{3}$$  

$$\frac{7}{9}$$  

$$\frac{4}{3}$$  

$$\frac{9}{4}$$  

$$\frac{3}{2}$$  

Organize the fractions into the most appropriate group.

less than half

equal to half

more than half

greater than 1

Multiple Choice

Compare

$$\frac{5}{7}$$ ____ $$\frac{1}{4}$$

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Multiple Choice

Compare

$$\frac{3}{2}$$ ____ $$\frac{7}{8}$$

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Multiple Choice

Compare

$$\frac{4}{9}$$ ____ $$\frac{7}{10}$$

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Multiple Choice

Which list has the fractions in order from greatest to least?

• $$\frac{2}{9},\ \frac{2}{7},\ \frac{2}{5},\ \frac{2}{3}$$

• $$\frac{2}{3},\ \frac{2}{5},\ \frac{2}{7},\ \frac{2}{9}$$

• $$\frac{2}{3}.\ \frac{2}{7},\ \frac{2}{5},\ \frac{2}{9}$$

• $$\frac{2}{9},\ \frac{2}{3},\ \frac{2}{5},\ \frac{2}{7}$$

Multiple Choice

Which list has the fractions in order least to greatest?

• $$\frac{1}{3},\ \frac{1}{4},\ \frac{4}{8},\ \frac{5}{9},\ \frac{7}{8}$$

• $$\frac{7}{8},\ \frac{5}{9},\ \frac{4}{8},\ \frac{1}{3},\ \frac{1}{4}$$

• $$\frac{7}{8},\ \frac{5}{9},\ \frac{4}{8},\ \frac{1}{4},\frac{1}{3}$$

• $$\frac{1}{4},\ \frac{1}{3},\ \frac{4}{8},\ \frac{5}{9},\ \frac{7}{8}$$