Math worksheet for practicing division of fractions with 15 problems.

Let's solve each of these fraction division problems step by step. The rule for dividing fractions is:

> To divide by a fraction, multiply by its reciprocal.

That is:
$$
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
$$

We'll apply this rule to each problem.

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1. $ \frac{2}{4} \div \frac{3}{4} $

- Simplify $ \frac{2}{4} = \frac{1}{2} $
- Now: $ \frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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2. $ \frac{3}{9} \div \frac{1}{3} $

- Simplify $ \frac{3}{9} = \frac{1}{3} $
- $ \frac{1}{3} \div \frac{1}{3} = \frac{1}{3} \times \frac{3}{1} = \frac{3}{3} = 1 $

✔ Answer: $ 1 $

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3. $ \frac{2}{3} \div \frac{6}{8} $

- Simplify $ \frac{6}{8} = \frac{3}{4} $
- $ \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3} = \frac{8}{9} $

✔ Answer: $ \frac{8}{9} $

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4. $ \frac{7}{8} \div \frac{1}{6} $

- $ \frac{7}{8} \times \frac{6}{1} = \frac{42}{8} = \frac{21}{4} = 5\frac{1}{4} $

✔ Answer: $ \frac{21}{4} $ or $ 5\frac{1}{4} $

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5. $ \frac{3}{8} \div \frac{1}{3} $

- $ \frac{3}{8} \times \frac{3}{1} = \frac{9}{8} = 1\frac{1}{8} $

✔ Answer: $ \frac{9}{8} $ or $ 1\frac{1}{8} $

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6. $ \frac{1}{4} \div \frac{1}{2} $

- $ \frac{1}{4} \times \frac{2}{1} = \frac{2}{4} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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7. $ \frac{1}{5} \div \frac{1}{3} $

- $ \frac{1}{5} \times \frac{3}{1} = \frac{3}{5} $

✔ Answer: $ \frac{3}{5} $

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8. $ \frac{1}{2} \div \frac{5}{8} $

- $ \frac{1}{2} \times \frac{8}{5} = \frac{8}{10} = \frac{4}{5} $

✔ Answer: $ \frac{4}{5} $

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9. $ \frac{1}{2} \div \frac{6}{9} $

- Simplify $ \frac{6}{9} = \frac{2}{3} $
- $ \frac{1}{2} \div \frac{2}{3} = \frac{1}{2} \times \frac{3}{2} = \frac{3}{4} $

✔ Answer: $ \frac{3}{4} $

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10. $ \frac{4}{6} \div \frac{7}{8} $

- Simplify $ \frac{4}{6} = \frac{2}{3} $
- $ \frac{2}{3} \div \frac{7}{8} = \frac{2}{3} \times \frac{8}{7} = \frac{16}{21} $

✔ Answer: $ \frac{16}{21} $

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11. $ \frac{2}{9} \div \frac{1}{3} $

- $ \frac{2}{9} \times \frac{3}{1} = \frac{6}{9} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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12. $ \frac{3}{6} \div \frac{2}{3} $

- Simplify $ \frac{3}{6} = \frac{1}{2} $
- $ \frac{1}{2} \div \frac{2}{3} = \frac{1}{2} \times \frac{3}{2} = \frac{3}{4} $

✔ Answer: $ \frac{3}{4} $

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13. $ \frac{7}{8} \div \frac{2}{4} $

- Simplify $ \frac{2}{4} = \frac{1}{2} $
- $ \frac{7}{8} \div \frac{1}{2} = \frac{7}{8} \times \frac{2}{1} = \frac{14}{8} = \frac{7}{4} = 1\frac{3}{4} $

✔ Answer: $ \frac{7}{4} $ or $ 1\frac{3}{4} $

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14. $ \frac{8}{9} \div \frac{1}{9} $

- $ \frac{8}{9} \times \frac{9}{1} = \frac{72}{9} = 8 $

✔ Answer: $ 8 $

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15. $ \frac{2}{6} \div \frac{5}{8} $

- Simplify $ \frac{2}{6} = \frac{1}{3} $
- $ \frac{1}{3} \div \frac{5}{8} = \frac{1}{3} \times \frac{8}{5} = \frac{8}{15} $

✔ Answer: $ \frac{8}{15} $

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✔ Final Answers:

1. $ \frac{2}{3} $
2. $ 1 $
3. $ \frac{8}{9} $
4. $ \frac{21}{4} $ or $ 5\frac{1}{4} $
5. $ \frac{9}{8} $ or $ 1\frac{1}{8} $
6. $ \frac{1}{2} $
7. $ \frac{3}{5} $
8. $ \frac{4}{5} $
9. $ \frac{3}{4} $
10. $ \frac{16}{21} $
11. $ \frac{2}{3} $
12. $ \frac{3}{4} $
13. $ \frac{7}{4} $ or $ 1\frac{3}{4} $
14. $ 8 $
15. $ \frac{8}{15} $

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Let me know if you'd like this as a printable answer sheet!