Multiplying Fractions Differentiated Worksheet with Answers - Free Printable

Let’s solve each multiplication problem step by step.

When multiplying fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if possible.

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Left Column:

1. 3/5 × 5/7
Numerator: 3 × 5 = 15
Denominator: 5 × 7 = 35
→ 15/35
Simplify: Divide numerator and denominator by 5 → 3/7

2. 1/4 × 1/7
Numerator: 1 × 1 = 1
Denominator: 4 × 7 = 28
→ 1/28 (already simplified)

3. 2/7 × 3/5
Numerator: 2 × 3 = 6
Denominator: 7 × 5 = 35
→ 6/35 (already simplified)

4. 3/7 × 7/9
Numerator: 3 × 7 = 21
Denominator: 7 × 9 = 63
→ 21/63
Simplify: Divide by 21 → 1/3

*Alternatively, cancel before multiplying:*
The 7 in numerator and denominator cancels out → 3/1 × 1/9 = 3/9 = 1/3

5. 5/6 × 3/4
Numerator: 5 × 3 = 15
Denominator: 6 × 4 = 24
→ 15/24
Simplify: Divide by 3 → 5/8

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Right Column:

6. 4/5 × 6/8
First, simplify 6/8 to 3/4 (divide by 2)
Now: 4/5 × 3/4
Cancel 4s: 1/5 × 3/1 = 3/5

*Or without simplifying first:*
4×6=24, 5×8=40 → 24/40 → divide by 8 → 3/5

7. 4/5 × 7/10
Numerator: 4 × 7 = 28
Denominator: 5 × 10 = 50
→ 28/50
Simplify: Divide by 2 → 14/25

8. 1/7 × 8/9
Numerator: 1 × 8 = 8
Denominator: 7 × 9 = 63
→ 8/63 (already simplified)

9. 3/8 × 1/2
Numerator: 3 × 1 = 3
Denominator: 8 × 2 = 16
→ 3/16 (already simplified)

10. 2/3 × 6/9
First, simplify 6/9 to 2/3
Now: 2/3 × 2/3 = 4/9

*Or without simplifying first:*
2×6=12, 3×9=27 → 12/27 → divide by 3 → 4/9

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Final Answer:

Left column:
- 3/5 × 5/7 = 3/7
- 1/4 × 1/7 = 1/28
- 2/7 × 3/5 = 6/35
- 3/7 × 7/9 = 1/3
- 5/6 × 3/4 = 5/8

Right column:
- 4/5 × 6/8 = 3/5
- 4/5 × 7/10 = 14/25
- 1/7 × 8/9 = 8/63
- 3/8 × 1/2 = 3/16
- 2/3 × 6/9 = 4/9