Divide Fractions Worksheet -5 Worksheets - Free Printable

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

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

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

We'll apply this rule to each problem.

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

$$
= \frac{3}{8} \times \frac{8}{2} = \frac{3 \times 8}{8 \times 2} = \frac{24}{16} = \frac{3}{2} = 1\frac{1}{2}
$$

✔ Answer: $ \frac{3}{2} $ or $ 1\frac{1}{2} $

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2. $\frac{1}{8} \div \frac{2}{9}$

$$
= \frac{1}{8} \times \frac{9}{2} = \frac{1 \times 9}{8 \times 2} = \frac{9}{16}
$$

✔ Answer: $ \frac{9}{16} $

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3. $\frac{1}{3} \div \frac{7}{8}$

$$
= \frac{1}{3} \times \frac{8}{7} = \frac{8}{21}
$$

✔ Answer: $ \frac{8}{21} $

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4. $\frac{3}{6} \div \frac{1}{3}$

First simplify $\frac{3}{6} = \frac{1}{2}$

$$
= \frac{1}{2} \div \frac{1}{3} = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2} = 1\frac{1}{2}
$$

✔ Answer: $ \frac{3}{2} $ or $ 1\frac{1}{2} $

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5. $\frac{5}{6} \div \frac{2}{3}$

$$
= \frac{5}{6} \times \frac{3}{2} = \frac{5 \times 3}{6 \times 2} = \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}
$$

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

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

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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7. $\frac{1}{3} \div \frac{3}{6}$

Simplify $\frac{3}{6} = \frac{1}{2}$

$$
= \frac{1}{3} \div \frac{1}{2} = \frac{1}{3} \times \frac{2}{1} = \frac{2}{3}
$$

✔ Answer: $ \frac{2}{3} $

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

Simplify $\frac{6}{8} = \frac{3}{4}$

$$
= \frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2} = \frac{9}{8} = 1\frac{1}{8}
$$

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

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

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

✔ Answer: $ 2 $

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

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

✔ Answer: $ \frac{1}{3} $

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

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

✔ Answer: $ \frac{2}{3} $

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

$$
= \frac{1}{3} \times \frac{4}{3} = \frac{4}{9}
$$

✔ Answer: $ \frac{4}{9} $

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

$$
= \frac{1}{4} \times \frac{3}{1} = \frac{3}{4}
$$

✔ Answer: $ \frac{3}{4} $

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

$$
= \frac{1}{3} \times \frac{5}{1} = \frac{5}{3} = 1\frac{2}{3}
$$

✔ Answer: $ \frac{5}{3} $ or $ 1\frac{2}{3} $

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

$$
= \frac{2}{5} \times \frac{5}{2} = \frac{10}{10} = 1
$$

✔ Answer: $ 1 $

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✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | $ \frac{3}{2} $ |
| 2 | $ \frac{9}{16} $ |
| 3 | $ \frac{8}{21} $ |
| 4 | $ \frac{3}{2} $ |
| 5 | $ \frac{5}{4} $ |
| 6 | $ 1 $ |
| 7 | $ \frac{2}{3} $ |
| 8 | $ \frac{9}{8} $ |
| 9 | $ 2 $ |
| 10 | $ \frac{1}{3} $ |
| 11 | $ \frac{2}{3} $ |
| 12 | $ \frac{4}{9} $ |
| 13 | $ \frac{3}{4} $ |
| 14 | $ \frac{5}{3} $ |
| 15 | $ 1 $ |

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💡 Tip: Always simplify before multiplying if possible — it makes calculations easier!

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