Worksheet titled "Multiplying Fractions Worksheets" featuring various fraction multiplication problems arranged in two columns.

Let's solve each of the fraction multiplication problems step by step.

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How to Multiply Fractions:

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

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Left Column:

#### 1. $ \frac{3}{5} \times \frac{5}{7} $
- Numerator: $ 3 \times 5 = 15 $
- Denominator: $ 5 \times 7 = 35 $
- Result: $ \frac{15}{35} $
- Simplify: Divide numerator and denominator by 5 → $ \frac{3}{7} $

✔ Answer: $ \frac{3}{7} $

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#### 2. $ \frac{1}{4} \times \frac{1}{7} $
- Numerator: $ 1 \times 1 = 1 $
- Denominator: $ 4 \times 7 = 28 $
- Result: $ \frac{1}{28} $

✔ Answer: $ \frac{1}{28} $

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#### 3. $ \frac{2}{7} \times \frac{3}{5} $
- Numerator: $ 2 \times 3 = 6 $
- Denominator: $ 7 \times 5 = 35 $
- Result: $ \frac{6}{35} $

✔ Answer: $ \frac{6}{35} $

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#### 4. $ \frac{3}{7} \times \frac{7}{9} $
- Numerator: $ 3 \times 7 = 21 $
- Denominator: $ 7 \times 9 = 63 $
- Result: $ \frac{21}{63} $
- Simplify: Divide both by 21 → $ \frac{1}{3} $

✔ Answer: $ \frac{1}{3} $

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#### 5. $ \frac{5}{6} \times \frac{3}{4} $
- Numerator: $ 5 \times 3 = 15 $
- Denominator: $ 6 \times 4 = 24 $
- Result: $ \frac{15}{24} $
- Simplify: Divide both by 3 → $ \frac{5}{8} $

✔ Answer: $ \frac{5}{8} $

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Right Column:

#### 6. $ \frac{4}{5} \times \frac{6}{8} $
- First simplify $ \frac{6}{8} $ → $ \frac{3}{4} $
- Now: $ \frac{4}{5} \times \frac{3}{4} $
- Numerator: $ 4 \times 3 = 12 $
- Denominator: $ 5 \times 4 = 20 $
- Result: $ \frac{12}{20} $
- Simplify: Divide by 4 → $ \frac{3}{5} $

✔ Answer: $ \frac{3}{5} $

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#### 7. $ \frac{4}{5} \times \frac{7}{10} $
- Numerator: $ 4 \times 7 = 28 $
- Denominator: $ 5 \times 10 = 50 $
- Result: $ \frac{28}{50} $
- Simplify: Divide by 2 → $ \frac{14}{25} $

✔ Answer: $ \frac{14}{25} $

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#### 8. $ \frac{1}{7} \times \frac{8}{9} $
- Numerator: $ 1 \times 8 = 8 $
- Denominator: $ 7 \times 9 = 63 $
- Result: $ \frac{8}{63} $

✔ Answer: $ \frac{8}{63} $

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#### 9. $ \frac{3}{8} \times \frac{1}{2} $
- Numerator: $ 3 \times 1 = 3 $
- Denominator: $ 8 \times 2 = 16 $
- Result: $ \frac{3}{16} $

✔ Answer: $ \frac{3}{16} $

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#### 10. $ \frac{2}{3} \times \frac{6}{9} $
- Simplify $ \frac{6}{9} $ → $ \frac{2}{3} $
- Now: $ \frac{2}{3} \times \frac{2}{3} $
- Numerator: $ 2 \times 2 = 4 $
- Denominator: $ 3 \times 3 = 9 $
- Result: $ \frac{4}{9} $

✔ Answer: $ \frac{4}{9} $

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✔ Final Answers:

Left Column:
1. $ \frac{3}{5} \times \frac{5}{7} = \frac{3}{7} $
2. $ \frac{1}{4} \times \frac{1}{7} = \frac{1}{28} $
3. $ \frac{2}{7} \times \frac{3}{5} = \frac{6}{35} $
4. $ \frac{3}{7} \times \frac{7}{9} = \frac{1}{3} $
5. $ \frac{5}{6} \times \frac{3}{4} = \frac{5}{8} $

Right Column:
6. $ \frac{4}{5} \times \frac{6}{8} = \frac{3}{5} $
7. $ \frac{4}{5} \times \frac{7}{10} = \frac{14}{25} $
8. $ \frac{1}{7} \times \frac{8}{9} = \frac{8}{63} $
9. $ \frac{3}{8} \times \frac{1}{2} = \frac{3}{16} $
10. $ \frac{2}{3} \times \frac{6}{9} = \frac{4}{9} $

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