Multiplying fractions - Fraction and Decimal Worksheets for Year 6 ... - Free Printable

Let's solve each of the fraction multiplication problems step by step, following the three steps shown in the example:

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Steps to multiply fractions:

1. Multiply the numerators (top numbers).
2. Multiply the denominators (bottom numbers).
3. Simplify the result if possible.

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Now, let's solve each problem:

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1. $ \frac{4}{5} \times \frac{1}{2} $

- Numerator: $ 4 \times 1 = 4 $
- Denominator: $ 5 \times 2 = 10 $
- Result: $ \frac{4}{10} $
- Simplify: $ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $

✔ Answer: $ \frac{2}{5} $

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

- Numerator: $ 8 \times 2 = 16 $
- Denominator: $ 10 \times 3 = 30 $
- Result: $ \frac{16}{30} $
- Simplify: $ \frac{16 \div 2}{30 \div 2} = \frac{8}{15} $

✔ Answer: $ \frac{8}{15} $

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

- Numerator: $ 3 \times 3 = 9 $
- Denominator: $ 4 \times 5 = 20 $
- Result: $ \frac{9}{20} $ — already simplified

✔ Answer: $ \frac{9}{20} $

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4. $ \frac{3}{5} \times \frac{6}{10} $

- Numerator: $ 3 \times 6 = 18 $
- Denominator: $ 5 \times 10 = 50 $
- Result: $ \frac{18}{50} $
- Simplify: $ \frac{18 \div 2}{50 \div 2} = \frac{9}{25} $

✔ Answer: $ \frac{9}{25} $

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5. $ \frac{1}{4} \times \frac{4}{10} $

- Numerator: $ 1 \times 4 = 4 $
- Denominator: $ 4 \times 10 = 40 $
- Result: $ \frac{4}{40} $
- Simplify: $ \frac{4 \div 4}{40 \div 4} = \frac{1}{10} $

✔ Answer: $ \frac{1}{10} $

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

- Numerator: $ 1 \times 1 = 1 $
- Denominator: $ 2 \times 5 = 10 $
- Result: $ \frac{1}{10} $ — already simplified

✔ Answer: $ \frac{1}{10} $

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

- Numerator: $ 4 \times 1 = 4 $
- Denominator: $ 5 \times 4 = 20 $
- Result: $ \frac{4}{20} $
- Simplify: $ \frac{4 \div 4}{20 \div 4} = \frac{1}{5} $

✔ Answer: $ \frac{1}{5} $

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

- Numerator: $ 3 \times 1 = 3 $
- Denominator: $ 4 \times 5 = 20 $
- Result: $ \frac{3}{20} $ — already simplified

✔ Answer: $ \frac{3}{20} $

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9. $ \frac{1}{4} \times \frac{2}{10} $

- Numerator: $ 1 \times 2 = 2 $
- Denominator: $ 4 \times 10 = 40 $
- Result: $ \frac{2}{40} $
- Simplify: $ \frac{2 \div 2}{40 \div 2} = \frac{1}{20} $

✔ Answer: $ \frac{1}{20} $

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

- First simplify $ \frac{2}{4} = \frac{1}{2} $
- Then: $ \frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6} $

✔ Answer: $ \frac{1}{6} $

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

- Numerator: $ 3 \times 1 = 3 $
- Denominator: $ 5 \times 4 = 20 $
- Result: $ \frac{3}{20} $ — already simplified

✔ Answer: $ \frac{3}{20} $

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

- Numerator: $ 1 \times 1 = 1 $
- Denominator: $ 4 \times 3 = 12 $
- Result: $ \frac{1}{12} $

✔ Answer: $ \frac{1}{12} $

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

- Numerator: $ 1 \times 1 = 1 $
- Denominator: $ 2 \times 5 = 10 $
- Result: $ \frac{1}{10} $

✔ Answer: $ \frac{1}{10} $

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

- Numerator: $ 1 \times 3 = 3 $
- Denominator: $ 2 \times 5 = 10 $
- Result: $ \frac{3}{10} $ — already simplified

✔ Answer: $ \frac{3}{10} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{2}{5} $ |
| 2 | $ \frac{8}{15} $ |
| 3 | $ \frac{9}{20} $ |
| 4 | $ \frac{9}{25} $ |
| 5 | $ \frac{1}{10} $ |
| 6 | $ \frac{1}{10} $ |
| 7 | $ \frac{1}{5} $ |
| 8 | $ \frac{3}{20} $ |
| 9 | $ \frac{1}{20} $ |
| 10 | $ \frac{1}{6} $ |
| 11 | $ \frac{3}{20} $ |
| 12 | $ \frac{1}{12} $ |
| 13 | $ \frac{1}{10} $ |
| 14 | $ \frac{3}{10} $ |

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🔍 Summary:

- Always multiply numerators and denominators.
- Simplify the final answer by dividing both numerator and denominator by their greatest common divisor (GCD).
- Some fractions can be simplified before multiplying (like in problem 10), which makes it easier.

Let me know if you'd like this as a printable worksheet or with visual models!