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.
Original: 4/7
First blank: ? / 49 → 7 × 7 = 49, so multiply numerator by 7: 4 × 7 =
28
Second blank: ? / 21 → 7 × 3 = 21, so 4 × 3 =
12
→ 4/7 =
28/49 =
12/21
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2.
Original: 1/2
First blank: ? / 20 → 2 × 10 = 20, so 1 × 10 =
10
Second blank: ? / 10 → 2 × 5 = 10, so 1 × 5 =
5
→ 1/2 =
10/20 =
5/10
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3.
Original: 1/3
First blank: ? / 24 → 3 × 8 = 24, so 1 × 8 =
8
Second blank: ? / 27 → 3 × 9 = 27, so 1 × 9 =
9
→ 1/3 =
8/24 =
9/27
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4.
Original: 7/8
First blank: ? / 64 → 8 × 8 = 64, so 7 × 8 =
56
Second blank: ? / 40 → 8 × 5 = 40, so 7 × 5 =
35
→ 7/8 =
56/64 =
35/40
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5.
Original: 2/8 (which simplifies to 1/4, but we’ll use 2/8 as given)
First blank: ? / 24 → 8 × 3 = 24, so 2 × 3 =
6
Second blank: ? / 48 → 8 × 6 = 48, so 2 × 6 =
12
→ 2/8 =
6/24 =
12/48
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6.
Original: 1/2
First blank: ? / 6 → 2 × 3 = 6, so 1 × 3 =
3
Second blank: ? / 20 → 2 × 10 = 20, so 1 × 10 =
10
→ 1/2 =
3/6 =
10/20
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7.
Original: 3/6 (simplifies to 1/2, but we’ll use 3/6)
First blank: ? / 36 → 6 × 6 = 36, so 3 × 6 =
18
Second blank: ? / 48 → 6 × 8 = 48, so 3 × 8 =
24
→ 3/6 =
18/36 =
24/48
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8.
Original: 1/2
First blank: ? / 18 → 2 × 9 = 18, so 1 × 9 =
9
Second blank: ? / 20 → 2 × 10 = 20, so 1 × 10 =
10
→ 1/2 =
9/18 =
10/20
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9.
Original: 1/8
First blank: ? / 72 → 8 × 9 = 72, so 1 × 9 =
9
Second blank: ? / 40 → 8 × 5 = 40, so 1 × 5 =
5
→ 1/8 =
9/72 =
5/40
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10.
Original: 7/8
First blank: ? / 64 → 8 × 8 = 64, so 7 × 8 =
56
Second blank: ? / 32 → 8 × 4 = 32, so 7 × 4 =
28
→ 7/8 =
56/64 =
28/32
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11.
Original: 3/7
First blank: ? / 56 → 7 × 8 = 56, so 3 × 8 =
24
Second blank: ? / 35 → 7 × 5 = 35, so 3 × 5 =
15
→ 3/7 =
24/56 =
15/35
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12.
Original: 1/4
First blank: ? / 32 → 4 × 8 = 32, so 1 × 8 =
8
Second blank: ? / 16 → 4 × 4 = 16, so 1 × 4 =
4
→ 1/4 =
8/32 =
4/16
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13.
Original: 1/2
First blank: ? / 4 → 2 × 2 = 4, so 1 × 2 =
2
Second blank: ? / 10 → 2 × 5 = 10, so 1 × 5 =
5
→ 1/2 =
2/4 =
5/10
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14.
Original: 1/2
First blank: ? / 4 → 2 × 2 = 4, so 1 × 2 =
2
Second blank: ? / 18 → 2 × 9 = 18, so 1 × 9 =
9
→ 1/2 =
2/4 =
9/18
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15.
Original: 3/4
First blank: ? / 20 → 4 × 5 = 20, so 3 × 5 =
15
Second blank: ? / 8 → 4 × 2 = 8, so 3 × 2 =
6
→ 3/4 =
15/20 =
6/8
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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 equivalent fractions worksheets.
