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

Problem Overview:

The task involves solving a series of fraction multiplication problems. The worksheet provides a clear three-step process for multiplying fractions:
1. Multiply the numerators (top numbers).
2. Multiply the denominators (bottom numbers).
3. Simplify the resulting fraction if needed.

We will solve each problem step by step using this method.

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Solution to Each Problem:

#### Problem 1: \( \frac{4}{5} \times \frac{1}{2} \)
- Step 1: Multiply the numerators: \( 4 \times 1 = 4 \)
- Step 2: Multiply the denominators: \( 5 \times 2 = 10 \)
- Step 3: Simplify the fraction: \( \frac{4}{10} = \frac{2}{5} \) (divide numerator and denominator by 2)

Answer: \( \frac{2}{5} \)

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#### Problem 2: \( \frac{8}{10} \times \frac{2}{3} \)
- Step 1: Multiply the numerators: \( 8 \times 2 = 16 \)
- Step 2: Multiply the denominators: \( 10 \times 3 = 30 \)
- Step 3: Simplify the fraction: \( \frac{16}{30} = \frac{8}{15} \) (divide numerator and denominator by 2)

Answer: \( \frac{8}{15} \)

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#### Problem 3: \( \frac{3}{4} \times \frac{3}{5} \)
- Step 1: Multiply the numerators: \( 3 \times 3 = 9 \)
- Step 2: Multiply the denominators: \( 4 \times 5 = 20 \)
- Step 3: Simplify the fraction: \( \frac{9}{20} \) (already in simplest form)

Answer: \( \frac{9}{20} \)

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#### Problem 4: \( \frac{3}{5} \times \frac{6}{10} \)
- Step 1: Multiply the numerators: \( 3 \times 6 = 18 \)
- Step 2: Multiply the denominators: \( 5 \times 10 = 50 \)
- Step 3: Simplify the fraction: \( \frac{18}{50} = \frac{9}{25} \) (divide numerator and denominator by 2)

Answer: \( \frac{9}{25} \)

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#### Problem 5: \( \frac{1}{4} \times \frac{4}{10} \)
- Step 1: Multiply the numerators: \( 1 \times 4 = 4 \)
- Step 2: Multiply the denominators: \( 4 \times 10 = 40 \)
- Step 3: Simplify the fraction: \( \frac{4}{40} = \frac{1}{10} \) (divide numerator and denominator by 4)

Answer: \( \frac{1}{10} \)

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#### Problem 6: \( \frac{1}{2} \times \frac{1}{5} \)
- Step 1: Multiply the numerators: \( 1 \times 1 = 1 \)
- Step 2: Multiply the denominators: \( 2 \times 5 = 10 \)
- Step 3: Simplify the fraction: \( \frac{1}{10} \) (already in simplest form)

Answer: \( \frac{1}{10} \)

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#### Problem 7: \( \frac{4}{5} \times \frac{1}{4} \)
- Step 1: Multiply the numerators: \( 4 \times 1 = 4 \)
- Step 2: Multiply the denominators: \( 5 \times 4 = 20 \)
- Step 3: Simplify the fraction: \( \frac{4}{20} = \frac{1}{5} \) (divide numerator and denominator by 4)

Answer: \( \frac{1}{5} \)

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#### Problem 8: \( \frac{3}{4} \times \frac{1}{5} \)
- Step 1: Multiply the numerators: \( 3 \times 1 = 3 \)
- Step 2: Multiply the denominators: \( 4 \times 5 = 20 \)
- Step 3: Simplify the fraction: \( \frac{3}{20} \) (already in simplest form)

Answer: \( \frac{3}{20} \)

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#### Problem 9: \( \frac{1}{4} \times \frac{2}{10} \)
- Step 1: Multiply the numerators: \( 1 \times 2 = 2 \)
- Step 2: Multiply the denominators: \( 4 \times 10 = 40 \)
- Step 3: Simplify the fraction: \( \frac{2}{40} = \frac{1}{20} \) (divide numerator and denominator by 2)

Answer: \( \frac{1}{20} \)

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#### Problem 10: \( \frac{2}{4} \times \frac{1}{3} \)
- Step 1: Multiply the numerators: \( 2 \times 1 = 2 \)
- Step 2: Multiply the denominators: \( 4 \times 3 = 12 \)
- Step 3: Simplify the fraction: \( \frac{2}{12} = \frac{1}{6} \) (divide numerator and denominator by 2)

Answer: \( \frac{1}{6} \)

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#### Problem 11: \( \frac{3}{5} \times \frac{1}{4} \)
- Step 1: Multiply the numerators: \( 3 \times 1 = 3 \)
- Step 2: Multiply the denominators: \( 5 \times 4 = 20 \)
- Step 3: Simplify the fraction: \( \frac{3}{20} \) (already in simplest form)

Answer: \( \frac{3}{20} \)

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#### Problem 12: \( \frac{1}{4} \times \frac{1}{3} \)
- Step 1: Multiply the numerators: \( 1 \times 1 = 1 \)
- Step 2: Multiply the denominators: \( 4 \times 3 = 12 \)
- Step 3: Simplify the fraction: \( \frac{1}{12} \) (already in simplest form)

Answer: \( \frac{1}{12} \)

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#### Problem 13: \( \frac{1}{2} \times \frac{1}{5} \)
- Step 1: Multiply the numerators: \( 1 \times 1 = 1 \)
- Step 2: Multiply the denominators: \( 2 \times 5 = 10 \)
- Step 3: Simplify the fraction: \( \frac{1}{10} \) (already in simplest form)

Answer: \( \frac{1}{10} \)

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#### Problem 14: \( \frac{1}{2} \times \frac{3}{5} \)
- Step 1: Multiply the numerators: \( 1 \times 3 = 3 \)
- Step 2: Multiply the denominators: \( 2 \times 5 = 10 \)
- Step 3: Simplify the fraction: \( \frac{3}{10} \) (already in simplest form)

Answer: \( \frac{3}{10} \)

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Final Answers:

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. \( \frac{3}{10} \)

\boxed{\text{See above for detailed solutions.}}