Multiplying Fractions Worksheets with Answer Key - Free Printable

Explanation:
To multiply fractions, follow these steps:
1. Multiply the numerators (the top numbers) together.
2. Multiply the denominators (the bottom numbers) together.
3. Simplify the resulting fraction if possible.

Let’s solve each problem step by step:

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① $ \frac{6}{8} \times \frac{3}{2} $
Multiply numerators: $ 6 \times 3 = 18 $
Multiply denominators: $ 8 \times 2 = 16 $
Result: $ \frac{18}{16} $
Simplify: Divide numerator and denominator by 2 → $ \frac{9}{8} $
Answer: $ \frac{9}{8} $

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② $ \frac{1}{6} \times \frac{2}{9} $
Multiply numerators: $ 1 \times 2 = 2 $
Multiply denominators: $ 6 \times 9 = 54 $
Result: $ \frac{2}{54} $
Simplify: Divide numerator and denominator by 2 → $ \frac{1}{27} $
Answer: $ \frac{1}{27} $

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③ $ \frac{2}{3} \times \frac{3}{5} $
Multiply numerators: $ 2 \times 3 = 6 $
Multiply denominators: $ 3 \times 5 = 15 $
Result: $ \frac{6}{15} $
Simplify: Divide numerator and denominator by 3 → $ \frac{2}{5} $
Answer: $ \frac{2}{5} $

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④ $ \frac{5}{6} \times \frac{8}{3} $
Multiply numerators: $ 5 \times 8 = 40 $
Multiply denominators: $ 6 \times 3 = 18 $
Result: $ \frac{40}{18} $
Simplify: Divide numerator and denominator by 2 → $ \frac{20}{9} $
Answer: $ \frac{20}{9} $

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⑤ $ \frac{2}{6} \times \frac{2}{7} $
Multiply numerators: $ 2 \times 2 = 4 $
Multiply denominators: $ 6 \times 7 = 42 $
Result: $ \frac{4}{42} $
Simplify: Divide numerator and denominator by 2 → $ \frac{2}{21} $
Answer: $ \frac{2}{21} $

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⑥ $ \frac{4}{5} \times \frac{3}{7} $
Multiply numerators: $ 4 \times 3 = 12 $
Multiply denominators: $ 5 \times 7 = 35 $
Result: $ \frac{12}{35} $
This cannot be simplified further.
Answer: $ \frac{12}{35} $

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⑦ $ \frac{5}{8} \times \frac{1}{9} $
Multiply numerators: $ 5 \times 1 = 5 $
Multiply denominators: $ 8 \times 9 = 72 $
Result: $ \frac{5}{72} $
This cannot be simplified further.
Answer: $ \frac{5}{72} $

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⑧ $ \frac{3}{4} \times \frac{4}{5} $
Multiply numerators: $ 3 \times 4 = 12 $
Multiply denominators: $ 4 \times 5 = 20 $
Result: $ \frac{12}{20} $
Simplify: Divide numerator and denominator by 4 → $ \frac{3}{5} $
Answer: $ \frac{3}{5} $

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⑨ $ \frac{6}{7} \times \frac{4}{9} $
Multiply numerators: $ 6 \times 4 = 24 $
Multiply denominators: $ 7 \times 9 = 63 $
Result: $ \frac{24}{63} $
Simplify: Divide numerator and denominator by 3 → $ \frac{8}{21} $
Answer: $ \frac{8}{21} $

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⑩ $ \frac{4}{3} \times \frac{1}{6} $
Multiply numerators: $ 4 \times 1 = 4 $
Multiply denominators: $ 3 \times 6 = 18 $
Result: $ \frac{4}{18} $
Simplify: Divide numerator and denominator by 2 → $ \frac{2}{9} $
Answer: $ \frac{2}{9} $

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⑪ $ \frac{4}{9} \times \frac{7}{8} $
Multiply numerators: $ 4 \times 7 = 28 $
Multiply denominators: $ 9 \times 8 = 72 $
Result: $ \frac{28}{72} $
Simplify: Divide numerator and denominator by 4 → $ \frac{7}{18} $
Answer: $ \frac{7}{18} $

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⑫ $ \frac{5}{8} \times \frac{5}{6} $
Multiply numerators: $ 5 \times 5 = 25 $
Multiply denominators: $ 8 \times 6 = 48 $
Result: $ \frac{25}{48} $
This cannot be simplified further.
Answer: $ \frac{25}{48} $

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⑬ $ \frac{2}{5} \times \frac{3}{9} $
Multiply numerators: $ 2 \times 3 = 6 $
Multiply denominators: $ 5 \times 9 = 45 $
Result: $ \frac{6}{45} $
Simplify: Divide numerator and denominator by 3 → $ \frac{2}{15} $
Answer: $ \frac{2}{15} $

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⑭ $ \frac{8}{9} \times \frac{7}{6} $
Multiply numerators: $ 8 \times 7 = 56 $
Multiply denominators: $ 9 \times 6 = 54 $
Result: $ \frac{56}{54} $
Simplify: Divide numerator and denominator by 2 → $ \frac{28}{27} $
Answer: $ \frac{28}{27} $

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Final Answer:
① $ \frac{9}{8} $
② $ \frac{1}{27} $
③ $ \frac{2}{5} $
④ $ \frac{20}{9} $
⑤ $ \frac{2}{21} $
⑥ $ \frac{12}{35} $
⑦ $ \frac{5}{72} $
⑧ $ \frac{3}{5} $
⑨ $ \frac{8}{21} $
⑩ $ \frac{2}{9} $
⑪ $ \frac{7}{18} $
⑫ $ \frac{25}{48} $
⑬ $ \frac{2}{15} $
⑭ $ \frac{28}{27} $