Fraction multiplication practice worksheet with 18 problems requiring multiplication of fractions, attention to negative signs, and simplification of results.

Let’s solve each fraction multiplication problem step by step. Remember:

- Multiply the numerators (top numbers) together.
- Multiply the denominators (bottom numbers) together.
- Simplify the result if possible.
- Watch out for negative signs:
→ negative × negative = positive
→ negative × positive = negative
→ positive × positive = positive

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Row 1:

1. 1/5 × 15/18
Numerator: 1 × 15 = 15
Denominator: 5 × 18 = 90
→ 15/90 = simplify by dividing top and bottom by 15 → 1/6

2. 2/3 × 12/22
Numerator: 2 × 12 = 24
Denominator: 3 × 22 = 66
→ 24/66 = divide by 6 → 4/11

3. 1/2 × 10/12
Numerator: 1 × 10 = 10
Denominator: 2 × 12 = 24
→ 10/24 = divide by 2 → 5/12

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Row 2:

4. -3/4 × 12/14
Numerator: -3 × 12 = -36
Denominator: 4 × 14 = 56
→ -36/56 = divide by 4 → -9/14

5. 2/5 × -5/10
Numerator: 2 × -5 = -10
Denominator: 5 × 10 = 50
→ -10/50 = divide by 10 → -1/5

6. -2/7 × -3/10
Negative × negative = positive
Numerator: 2 × 3 = 6
Denominator: 7 × 10 = 70
→ 6/70 = divide by 2 → 3/35

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Row 3:

7. -5/6 × -6/7
Negative × negative = positive
Numerator: 5 × 6 = 30
Denominator: 6 × 7 = 42
→ 30/42 = divide by 6 → 5/7

8. 3/5 × 3/4
Numerator: 3 × 3 = 9
Denominator: 5 × 4 = 20
→ 9/20 (already simplified)

9. -7/8 × 5/10
Numerator: -7 × 5 = -35
Denominator: 8 × 10 = 80
→ -35/80 = divide by 5 → -7/16

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Row 4:

10. -3/5 × 7/13
Numerator: -3 × 7 = -21
Denominator: 5 × 13 = 65
→ -21/65 (no common factors)

11. 3/8 × -5/9
Numerator: 3 × -5 = -15
Denominator: 8 × 9 = 72
→ -15/72 = divide by 3 → -5/24

12. -1/3 × -9/16
Negative × negative = positive
Numerator: 1 × 9 = 9
Denominator: 3 × 16 = 48
→ 9/48 = divide by 3 → 3/16

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Row 5:

13. -1/3 × 9/14
Numerator: -1 × 9 = -9
Denominator: 3 × 14 = 42
→ -9/42 = divide by 3 → -3/14

14. -1/2 × 16/28
Numerator: -1 × 16 = -16
Denominator: 2 × 28 = 56
→ -16/56 = divide by 8 → -2/7

15. 3/4 × 8/21
Numerator: 3 × 8 = 24
Denominator: 4 × 21 = 84
→ 24/84 = divide by 12 → 2/7

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Row 6:

16. -1/2 × -8/9
Negative × negative = positive
Numerator: 1 × 8 = 8
Denominator: 2 × 9 = 18
→ 8/18 = divide by 2 → 4/9

17. -1/8 × 16/17
Numerator: -1 × 16 = -16
Denominator: 8 × 17 = 136
→ -16/136 = divide by 8 → -2/17

18. 0/4 × -3/7
Anything multiplied by 0 is 0 → 0

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Final Answer:
1/6, 4/11, 5/12, -9/14, -1/5, 3/35, 5/7, 9/20, -7/16, -21/65, -5/24, 3/16, -3/14, -2/7, 2/7, 4/9, -2/17, 0