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 the denominators together, then simplify the result if possible.

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

$$
= \frac{3 \times 2}{10 \times 9} = \frac{6}{90}
$$

Simplify:
$ \frac{6}{90} = \frac{1}{15} $

✔ Answer: $ \frac{1}{15} $

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

$$
= \frac{1 \times 3}{3 \times 5} = \frac{3}{15}
$$

Simplify:
$ \frac{3}{15} = \frac{1}{5} $

✔ Answer: $ \frac{1}{5} $

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3. $ \frac{4}{5} \times \frac{5}{8} $

$$
= \frac{4 \times 5}{5 \times 8} = \frac{20}{40}
$$

Simplify:
$ \frac{20}{40} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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4. $ \frac{7}{10} \times \frac{2}{14} $

$$
= \frac{7 \times 2}{10 \times 14} = \frac{14}{140}
$$

Simplify:
$ \frac{14}{140} = \frac{1}{10} $

✔ Answer: $ \frac{1}{10} $

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5. $ \frac{3}{7} \times \frac{2}{3} $

$$
= \frac{3 \times 2}{7 \times 3} = \frac{6}{21}
$$

Simplify:
$ \frac{6}{21} = \frac{2}{7} $

✔ Answer: $ \frac{2}{7} $

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

$$
= \frac{3 \times 1}{4 \times 9} = \frac{3}{36}
$$

Simplify:
$ \frac{3}{36} = \frac{1}{12} $

✔ Answer: $ \frac{1}{12} $

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7. $ \frac{2}{15} \times \frac{5}{6} $

$$
= \frac{2 \times 5}{15 \times 6} = \frac{10}{90}
$$

Simplify:
$ \frac{10}{90} = \frac{1}{9} $

✔ Answer: $ \frac{1}{9} $

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8. $ \frac{4}{5} \times \frac{1}{6} $

$$
= \frac{4 \times 1}{5 \times 6} = \frac{4}{30}
$$

Simplify:
$ \frac{4}{30} = \frac{2}{15} $

✔ Answer: $ \frac{2}{15} $

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

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

Simplify:
$ \frac{6}{12} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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10. $ \frac{5}{8} \times \frac{2}{25} $

$$
= \frac{5 \times 2}{8 \times 25} = \frac{10}{200}
$$

Simplify:
$ \frac{10}{200} = \frac{1}{20} $

✔ Answer: $ \frac{1}{20} $

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11. $ \frac{4}{6} \times \frac{3}{8} $

First, simplify $ \frac{4}{6} = \frac{2}{3} $

Now:
$$
\frac{2}{3} \times \frac{3}{8} = \frac{2 \times 3}{3 \times 8} = \frac{6}{24}
$$

Simplify:
$ \frac{6}{24} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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12. $ \frac{5}{7} \times \frac{3}{6} $

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

Now:
$$
\frac{5}{7} \times \frac{1}{2} = \frac{5 \times 1}{7 \times 2} = \frac{5}{14}
$$

✔ Answer: $ \frac{5}{14} $

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13. $ \frac{2}{7} \times \frac{21}{14} $

Simplify $ \frac{21}{14} = \frac{3}{2} $

Now:
$$
\frac{2}{7} \times \frac{3}{2} = \frac{2 \times 3}{7 \times 2} = \frac{6}{14}
$$

Simplify:
$ \frac{6}{14} = \frac{3}{7} $

✔ Answer: $ \frac{3}{7} $

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14. $ \frac{15}{8} \times \frac{2}{5} $

$$
= \frac{15 \times 2}{8 \times 5} = \frac{30}{40}
$$

Simplify:
$ \frac{30}{40} = \frac{3}{4} $

✔ Answer: $ \frac{3}{4} $

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15. $ \frac{4}{6} \times \frac{3}{9} $

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

Now:
$$
\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}
$$

✔ Answer: $ \frac{2}{9} $

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16. $ \frac{6}{8} \times \frac{1}{12} $

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

Now:
$$
\frac{3}{4} \times \frac{1}{12} = \frac{3 \times 1}{4 \times 12} = \frac{3}{48}
$$

Simplify:
$ \frac{3}{48} = \frac{1}{16} $

✔ Answer: $ \frac{1}{16} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{1}{15} $ |
| 2 | $ \frac{1}{5} $ |
| 3 | $ \frac{1}{2} $ |
| 4 | $ \frac{1}{10} $ |
| 5 | $ \frac{2}{7} $ |
| 6 | $ \frac{1}{12} $ |
| 7 | $ \frac{1}{9} $ |
| 8 | $ \frac{2}{15} $ |
| 9 | $ \frac{1}{2} $ |
| 10 | $ \frac{1}{20} $ |
| 11 | $ \frac{1}{4} $ |
| 12 | $ \frac{5}{14} $ |
| 13 | $ \frac{3}{7} $ |
| 14 | $ \frac{3}{4} $ |
| 15 | $ \frac{2}{9} $ |
| 16 | $ \frac{1}{16} $ |

Let me know if you'd like a visual explanation or practice tips!