Grade 6 worksheet for practicing multiplying fractions with 12 problems.

Let’s solve each problem step by step. Remember: when multiplying fractions, you multiply the top numbers (numerators) together and the bottom numbers (denominators) together. Then simplify if needed.

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Top Section:

1. ½ × ½ = (1×1)/(2×2) = 1/4

2. ¾ × ⅕ = (3×1)/(4×5) = 3/20

3. 9/10 × 5/6 = (9×5)/(10×6) = 45/60 → Simplify: divide numerator and denominator by 15 → 3/4

4. ⅕ × 10/11 = (1×10)/(5×11) = 10/55 → Simplify: divide by 5 → 2/11

5. 3/7 × 1/9 = (3×1)/(7×9) = 3/63 → Simplify: divide by 3 → 1/21

6. 4/9 × 3/8 = (4×3)/(9×8) = 12/72 → Simplify: divide by 12 → 1/6

7. 5/6 × 10/15 = (5×10)/(6×15) = 50/90 → Simplify: divide by 10 → 5/9 → 5/9

8. 9/10 × 8/9 = (9×8)/(10×9) = 72/90 → Cancel 9s first? Or simplify: divide by 18 → 4/5

Wait — better to cancel before multiplying:
9 in numerator and 9 in denominator cancel → left with 8/(10×1) = 8/10 = 4/5

9. 4/9 × 1/8 = (4×1)/(9×8) = 4/72 → Simplify: divide by 4 → 1/18

10. 6/7 × 4/5 = (6×4)/(7×5) = 24/35 → Already simplified → 24/35

11. 14/20 × 10/12 = Let’s simplify first:
14/20 = 7/10, 10/12 = 5/6 → now 7/10 × 5/6 = (7×5)/(10×6) = 35/60 → Simplify: divide by 5 → 7/12

Or without simplifying first: (14×10)/(20×12) = 140/240 → divide by 20 → 7/12 → same answer.

12. 5/7 × ½ = (5×1)/(7×2) = 5/14

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Bottom Section:

1. 12/15 × 5/6 = Simplify 12/15 = 4/5 → now 4/5 × 5/6 = (4×5)/(5×6) = 20/30 → cancel 5s → 4/6 = 2/3

Or: (12×5)/(15×6) = 60/90 → divide by 30 → 2/3

2. 8/9 × 9/10 = Cancel 9s → 8/1 × 1/10 = 8/10 = 4/5

3. ½ × ¾ = (1×3)/(2×4) = 3/8

4. 7/8 × 2/5 = (7×2)/(8×5) = 14/40 → Simplify: divide by 2 → 7/20

5. 6/7 × 1/7 = (6×1)/(7×7) = 6/49

6. 8/10 × 5/7 = Simplify 8/10 = 4/5 → 4/5 × 5/7 = (4×5)/(5×7) = 20/35 → cancel 5 → 4/7

Or: (8×5)/(10×7) = 40/70 → divide by 10 → 4/7

7. 1/10 × 1/5 = (1×1)/(10×5) = 1/50

8. 7/8 × 2/5 = Same as #4 above → 7/20

9. 8/11 × 3/4 = (8×3)/(11×4) = 24/44 → Simplify: divide by 4 → 6/11

10. 5/9 × 3/4 = (5×3)/(9×4) = 15/36 → Simplify: divide by 3 → 5/12

11. ¾ × ¾ = (3×3)/(4×4) = 9/16

12. 4/5 × 8/10 = Simplify 8/10 = 4/5 → so 4/5 × 4/5 = (4×4)/(5×5) = 16/25

Or: (4×8)/(5×10) = 32/50 → divide by 2 → 16/25

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Final Answer:

Top Section:
1. 1/4
2. 3/20
3. 3/4
4. 2/11
5. 1/21
6. 1/6
7. 5/9
8. 4/5
9. 1/18
10. 24/35
11. 7/12
12. 5/14

Bottom Section:
1. 2/3
2. 4/5
3. 3/8
4. 7/20
5. 6/49
6. 4/7
7. 1/50
8. 7/20
9. 6/11
10. 5/12
11. 9/16
12. 16/25