Multiply Fractions by Whole Numbers - Free Printable

Let's solve each of the multiplication problems in the worksheet step by step. The task is to multiply a whole number by a fraction.

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🔹 General Rule:

To multiply a whole number by a fraction:
1. Write the whole number as a fraction (e.g., $ 6 = \frac{6}{1} $).
2. Multiply the numerators together.
3. Multiply the denominators together.
4. Simplify the result if needed.

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Now, let’s go through each problem:

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#### Row 1

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

2. $ 5 \times \frac{8}{10} $
- $ = \frac{5}{1} \times \frac{8}{10} = \frac{40}{10} = 4 $

3. $ 4 \times \frac{2}{7} $
- $ = \frac{4}{1} \times \frac{2}{7} = \frac{8}{7} = 1\frac{1}{7} $

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#### Row 2

4. $ 2 \times \frac{1}{3} $
- $ = \frac{2}{1} \times \frac{1}{3} = \frac{2}{3} $

5. $ 3 \times \frac{3}{8} $
- $ = \frac{3}{1} \times \frac{3}{8} = \frac{9}{8} = 1\frac{1}{8} $

6. $ 8 \times \frac{4}{6} $
- Simplify $ \frac{4}{6} = \frac{2}{3} $
- $ = 8 \times \frac{2}{3} = \frac{16}{3} = 5\frac{1}{3} $

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#### Row 3

7. $ 9 \times \frac{1}{2} $
- $ = \frac{9}{1} \times \frac{1}{2} = \frac{9}{2} = 4\frac{1}{2} $

8. $ 10 \times \frac{4}{5} $
- $ = \frac{10}{1} \times \frac{4}{5} = \frac{40}{5} = 8 $

9. $ 6 \times \frac{2}{8} $
- Simplify $ \frac{2}{8} = \frac{1}{4} $
- $ = 6 \times \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2} $

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#### Row 4

10. $ 3 \times \frac{2}{5} $
- $ = \frac{3}{1} \times \frac{2}{5} = \frac{6}{5} = 1\frac{1}{5} $

11. $ 7 \times \frac{1}{4} $
- $ = \frac{7}{1} \times \frac{1}{4} = \frac{7}{4} = 1\frac{3}{4} $

12. $ 5 \times \frac{2}{3} $
- $ = \frac{5}{1} \times \frac{2}{3} = \frac{10}{3} = 3\frac{1}{3} $

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#### Row 5

13. $ 10 \times \frac{3}{5} $
- $ = \frac{10}{1} \times \frac{3}{5} = \frac{30}{5} = 6 $

14. $ 4 \times \frac{3}{6} $
- Simplify $ \frac{3}{6} = \frac{1}{2} $
- $ = 4 \times \frac{1}{2} = \frac{4}{2} = 2 $

15. $ 9 \times \frac{2}{4} $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- $ = 9 \times \frac{1}{2} = \frac{9}{2} = 4\frac{1}{2} $

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✔ Final Answers:

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

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📝 Tips:

- Always simplify fractions before multiplying when possible.
- Convert improper fractions to mixed numbers for final answers unless otherwise specified.

Let me know if you'd like this printed or formatted for a worksheet!