Let’s solve each problem step by step.
We are multiplying fractions. To multiply two fractions:
→ Multiply the top numbers (numerators) together.
→ Multiply the bottom numbers (denominators) together.
→ Simplify if needed.
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Problem 1:
1/2 × 3/4
= (1 × 3) / (2 × 4) = 3/8
✔ Correct answer:
b) 3/8
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Problem 2:
4/5 × 2/7
= (4 × 2) / (5 × 7) = 8/35
✔ Correct answer:
a) 8/35
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Problem 3:
1/5 × 1/3
= (1 × 1) / (5 × 3) = 1/15
✔ Correct answer:
a) 1/15
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Problem 4:
6/7 × 2/3
= (6 × 2) / (7 × 3) = 12/21
We can simplify 12/21 by dividing both by 3 → 4/7, but since 12/21 is an option and matches exactly, we pick that.
✔ Correct answer:
c) 12/21
*(Note: If simplified, it would be 4/7 — but since 12/21 is listed and correct as-is, we choose c.)*
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Problem 5:
1/6 × 2/3
= (1 × 2) / (6 × 3) = 2/18
We can simplify 2/18 to 1/9, but again, 2/18 is an option and matches exactly.
✔ Correct answer:
a) 2/18
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Problem 6:
4/5 × 2/4
First, note: 2/4 = 1/2, but let’s just multiply directly:
(4 × 2) / (5 × 4) = 8/20
✔ Correct answer:
c) 8/20
*(Note: 8/20 simplifies to 2/5, but since 8/20 is an option and matches the direct multiplication, we choose c.)*
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Final Answers:
1. b
2. a
3. a
4. c
5. a
6. c
Final Answer:
1. b, 2. a, 3. a, 4. c, 5. a, 6. c
Parent Tip: Review the logic above to help your child master the concept of division fractions worksheet 7th grade.
