Multiplying Fractions Worksheets with Answer Key - Free Printable

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

> Multiply the numerators together, and multiply the denominators together, then simplify if possible.

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1. $ \frac{3}{9} \times \frac{2}{4} $

- Simplify first:
$ \frac{3}{9} = \frac{1}{3} $, $ \frac{2}{4} = \frac{1}{2} $
- Now: $ \frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6} $

✔ Answer: $ \frac{1}{6} $

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

- Multiply: $ \frac{2 \times 5}{3 \times 6} = \frac{10}{18} $
- Simplify: $ \frac{10}{18} = \frac{5}{9} $

✔ Answer: $ \frac{5}{9} $

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3. $ \frac{4}{5} \times \frac{3}{2} $

- Multiply: $ \frac{4 \times 3}{5 \times 2} = \frac{12}{10} $
- Simplify: $ \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5} $

✔ Answer: $ \frac{6}{5} $ or $ 1\frac{1}{5} $

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4. $ \frac{1}{6} \times \frac{3}{7} $

- Multiply: $ \frac{1 \times 3}{6 \times 7} = \frac{3}{42} $
- Simplify: $ \frac{3}{42} = \frac{1}{14} $

✔ Answer: $ \frac{1}{14} $

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5. $ \frac{3}{4} \times \frac{1}{4} $

- Multiply: $ \frac{3 \times 1}{4 \times 4} = \frac{3}{16} $

✔ Answer: $ \frac{3}{16} $

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6. $ \frac{3}{4} \times \frac{2}{3} $

- Multiply: $ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} $
- Simplify: $ \frac{6}{12} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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7. $ \frac{7}{8} \times \frac{2}{14} $

- Simplify $ \frac{2}{14} = \frac{1}{7} $
- Now: $ \frac{7}{8} \times \frac{1}{7} = \frac{7 \times 1}{8 \times 7} = \frac{7}{56} $
- Simplify: $ \frac{7}{56} = \frac{1}{8} $

✔ Answer: $ \frac{1}{8} $

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8. $ \frac{6}{7} \times \frac{2}{9} $

- Multiply: $ \frac{6 \times 2}{7 \times 9} = \frac{12}{63} $
- Simplify: $ \frac{12}{63} = \frac{4}{21} $

✔ Answer: $ \frac{4}{21} $

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9. $ \frac{3}{4} \times \frac{2}{3} $

- Multiply: $ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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10. $ \frac{2}{3} \times \frac{9}{8} $

- Multiply: $ \frac{2 \times 9}{3 \times 8} = \frac{18}{24} $
- Simplify: $ \frac{18}{24} = \frac{3}{4} $

✔ Answer: $ \frac{3}{4} $

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11. $ \frac{4}{5} \times \frac{10}{7} $

- Multiply: $ \frac{4 \times 10}{5 \times 7} = \frac{40}{35} $
- Simplify: $ \frac{40}{35} = \frac{8}{7} = 1\frac{1}{7} $

✔ Answer: $ \frac{8}{7} $ or $ 1\frac{1}{7} $

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12. $ \frac{1}{3} \times \frac{1}{2} $

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

✔ Answer: $ \frac{1}{6} $

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13. $ \frac{3}{9} \times \frac{3}{4} $

- Simplify $ \frac{3}{9} = \frac{1}{3} $
- Now: $ \frac{1}{3} \times \frac{3}{4} = \frac{1 \times 3}{3 \times 4} = \frac{3}{12} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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14. $ \frac{5}{8} \times \frac{2}{3} $

- Multiply: $ \frac{5 \times 2}{8 \times 3} = \frac{10}{24} $
- Simplify: $ \frac{10}{24} = \frac{5}{12} $

✔ Answer: $ \frac{5}{12} $

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✔ Final Answers:

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

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