Let’s solve each problem step by step. We’re finding equivalent fractions — that means we multiply the numerator and denominator by the same number to get a new fraction that equals the original.
We’ll go one by one:
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1. 4/7 = ?/49 = ?/21
→ To get from 7 to 49, multiply by 7 → so 4 × 7 =
28
→ To get from 7 to 21, multiply by 3 → so 4 × 3 =
12
✔ Answer: 28, 12
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2. 1/2 = ?/20 = ?/10
→ 2 × 10 = 20 → 1 × 10 =
10
→ 2 × 5 = 10 → 1 × 5 =
5
✔ Answer: 10, 5
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3. 1/3 = ?/24 = ?/27
→ 3 × 8 = 24 → 1 × 8 =
8
→ 3 × 9 = 27 → 1 × 9 =
9
✔ Answer: 8, 9
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4. 7/8 = ?/64 = ?/40
→ 8 × 8 = 64 → 7 × 8 =
56
→ 8 × 5 = 40 → 7 × 5 =
35
✔ Answer: 56, 35
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5. 2/8 = ?/24 = ?/48
→ 8 × 3 = 24 → 2 × 3 =
6
→ 8 × 6 = 48 → 2 × 6 =
12
✔ Answer: 6, 12
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6. 1/2 = ?/6 = ?/20
→ 2 × 3 = 6 → 1 × 3 =
3
→ 2 × 10 = 20 → 1 × 10 =
10
✔ Answer: 3, 10
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7. 3/6 = ?/36 = ?/48
First, simplify 3/6 = 1/2 (but we can also work with 3/6 directly)
→ 6 × 6 = 36 → 3 × 6 =
18
→ 6 × 8 = 48 → 3 × 8 =
24
✔ Answer: 18, 24
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8. 1/2 = ?/18 = ?/20
→ 2 × 9 = 18 → 1 × 9 =
9
→ 2 × 10 = 20 → 1 × 10 =
10
✔ Answer: 9, 10
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9. 1/8 = ?/72 = ?/40
→ 8 × 9 = 72 → 1 × 9 =
9
→ 8 × 5 = 40 → 1 × 5 =
5
✔ Answer: 9, 5
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10. 7/8 = ?/64 = ?/32
→ 8 × 8 = 64 → 7 × 8 =
56
→ 8 × 4 = 32 → 7 × 4 =
28
✔ Answer: 56, 28
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11. 3/7 = ?/56 = ?/35
→ 7 × 8 = 56 → 3 × 8 =
24
→ 7 × 5 = 35 → 3 × 5 =
15
✔ Answer: 24, 15
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12. 1/4 = ?/32 = ?/16
→ 4 × 8 = 32 → 1 × 8 =
8
→ 4 × 4 = 16 → 1 × 4 =
4
✔ Answer: 8, 4
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13. 1/2 = ?/4 = ?/10
→ 2 × 2 = 4 → 1 × 2 =
2
→ 2 × 5 = 10 → 1 × 5 =
5
✔ Answer: 2, 5
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14. 1/2 = ?/4 = ?/18
→ 2 × 2 = 4 → 1 × 2 =
2
→ 2 × 9 = 18 → 1 × 9 =
9
✔ Answer: 2, 9
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15. 3/4 = ?/20 = ?/8
→ 4 × 5 = 20 → 3 × 5 =
15
→ 4 × 2 = 8 → 3 × 2 =
6
✔ Answer: 15, 6
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Final Answer:
1. 28, 12
2. 10, 5
3. 8, 9
4. 56, 35
5. 6, 12
6. 3, 10
7. 18, 24
8. 9, 10
9. 9, 5
10. 56, 28
11. 24, 15
12. 8, 4
13. 2, 5
14. 2, 9
15. 15, 6
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet for grade 7.
