Multiply Fractions By Whole Numbers Worksheet - Free Printable

Let's solve each of the multiplication problems involving fractions step by step. The general rule for multiplying a whole number by a fraction is:

> Multiply the whole number by the numerator (top part) of the fraction, and keep the denominator (bottom part) the same.

Then, simplify the result if possible.

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

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

✔ Answer: $ \frac{1}{2} $

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2. $ 7 \times \frac{4}{6} $

$$
= \frac{7 \times 4}{6} = \frac{28}{6} = \frac{14}{3} = 4\frac{2}{3}
$$

✔ Answer: $ \frac{14}{3} $ or $ 4\frac{2}{3} $

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3. $ 4 \times \frac{2}{8} $

First simplify $ \frac{2}{8} = \frac{1}{4} $
$$
= 4 \times \frac{1}{4} = \frac{4}{4} = 1
$$

✔ Answer: $ 1 $

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4. $ 7 \times \frac{2}{3} $

$$
= \frac{7 \times 2}{3} = \frac{14}{3} = 4\frac{2}{3}
$$

✔ Answer: $ \frac{14}{3} $ or $ 4\frac{2}{3} $

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

Simplify $ \frac{2}{4} = \frac{1}{2} $
$$
= 5 \times \frac{1}{2} = \frac{5}{2} = 2\frac{1}{2}
$$

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

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

$$
= \frac{8 \times 7}{8} = \frac{56}{8} = 7
$$

✔ Answer: $ 7 $

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

$$
= \frac{5 \times 2}{3} = \frac{10}{3} = 3\frac{1}{3}
$$

✔ Answer: $ \frac{10}{3} $ or $ 3\frac{1}{3} $

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

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

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

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9. $ 5 \times \frac{1}{6} $

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

✔ Answer: $ \frac{5}{6} $

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10. $ 3 \times \frac{7}{8} $

$$
= \frac{3 \times 7}{8} = \frac{21}{8} = 2\frac{5}{8}
$$

✔ Answer: $ \frac{21}{8} $ or $ 2\frac{5}{8} $

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11. $ 4 \times \frac{2}{3} $

$$
= \frac{4 \times 2}{3} = \frac{8}{3} = 2\frac{2}{3}
$$

✔ Answer: $ \frac{8}{3} $ or $ 2\frac{2}{3} $

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12. $ 1 \times \frac{1}{5} $

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

✔ Answer: $ \frac{1}{5} $

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13. $ 7 \times \frac{1}{8} $

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

✔ Answer: $ \frac{7}{8} $

---

14. $ 4 \times \frac{1}{4} $

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

✔ Answer: $ 1 $

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15. $ 2 \times \frac{2}{4} $

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

✔ Answer: $ 1 $

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16. $ 1 \times \frac{3}{4} $

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

✔ Answer: $ \frac{3}{4} $

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17. $ 7 \times \frac{2}{4} $

Simplify $ \frac{2}{4} = \frac{1}{2} $
$$
= 7 \times \frac{1}{2} = \frac{7}{2} = 3\frac{1}{2}
$$

✔ Answer: $ \frac{7}{2} $ or $ 3\frac{1}{2} $

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18. $ 5 \times \frac{6}{8} $

Simplify $ \frac{6}{8} = \frac{3}{4} $
$$
= 5 \times \frac{3}{4} = \frac{15}{4} = 3\frac{3}{4}
$$

✔ Answer: $ \frac{15}{4} $ or $ 3\frac{3}{4} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. | $ \frac{1}{2} $ |
| 2. | $ \frac{14}{3} $ or $ 4\frac{2}{3} $ |
| 3. | $ 1 $ |
| 4. | $ \frac{14}{3} $ or $ 4\frac{2}{3} $ |
| 5. | $ \frac{5}{2} $ or $ 2\frac{1}{2} $ |
| 6. | $ 7 $ |
| 7. | $ \frac{10}{3} $ or $ 3\frac{1}{3} $ |
| 8. | $ \frac{5}{4} $ or $ 1\frac{1}{4} $ |
| 9. | $ \frac{5}{6} $ |
| 10. | $ \frac{21}{8} $ or $ 2\frac{5}{8} $ |
| 11. | $ \frac{8}{3} $ or $ 2\frac{2}{3} $ |
| 12. | $ \frac{1}{5} $ |
| 13. | $ \frac{7}{8} $ |
| 14. | $ 1 $ |
| 15. | $ 1 $ |
| 16. | $ \frac{3}{4} $ |
| 17. | $ \frac{7}{2} $ or $ 3\frac{1}{2} $ |
| 18. | $ \frac{15}{4} $ or $ 3\frac{3}{4} $ |

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💡 Tips:
- Always simplify fractions before or after multiplying.
- When multiplying a whole number by a fraction, treat the whole number as a fraction over 1: e.g., $ 5 = \frac{5}{1} $.
- Cancel common factors when possible to make calculations easier.

Let me know if you'd like this in a printable format!