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.
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1) 2/5 = ?/10 = ?/15
- To get from 5 to 10, multiply by 2 → so multiply numerator 2 × 2 =
4
- To get from 5 to 15, multiply by 3 → so multiply numerator 2 × 3 =
6
→ Answer:
4/10,
6/15
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2) 3/5 = ?/15 = ?/25
- 5 → 15: ×3 → 3×3 =
9
- 5 → 25: ×5 → 3×5 =
15
→ Answer:
9/15,
15/25
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3) 5/9 = ?/18 = ?/45
- 9 → 18: ×2 → 5×2 =
10
- 9 → 45: ×5 → 5×5 =
25
→ Answer:
10/18,
25/45
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4) 1/6 = ?/24 = ?/30
- 6 → 24: ×4 → 1×4 =
4
- 6 → 30: ×5 → 1×5 =
5
→ Answer:
4/24,
5/30
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5) 4/9 = ?/18 = ?/27
- 9 → 18: ×2 → 4×2 =
8
- 9 → 27: ×3 → 4×3 =
12
→ Answer:
8/18,
12/27
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6) 1/4 = ?/24 = ?/40
- 4 → 24: ×6 → 1×6 =
6
- 4 → 40: ×10 → 1×10 =
10
→ Answer:
6/24,
10/40
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7) 2/3 = ?/6 = ?/15
- 3 → 6: ×2 → 2×2 =
4
- 3 → 15: ×5 → 2×5 =
10
→ Answer:
4/6,
10/15
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8) 2/7 = ?/21 = ?/35
- 7 → 21: ×3 → 2×3 =
6
- 7 → 35: ×5 → 2×5 =
10
→ Answer:
6/21,
10/35
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9) 5/12 = ?/36 = ?/60
- 12 → 36: ×3 → 5×3 =
15
- 12 → 60: ×5 → 5×5 =
25
→ Answer:
15/36,
25/60
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10) 6/11 = ?/22 = ?/33
- 11 → 22: ×2 → 6×2 =
12
- 11 → 33: ×3 → 6×3 =
18
→ Answer:
12/22,
18/33
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11) 4/15 = ?/60 = ?/90
- 15 → 60: ×4 → 4×4 =
16
- 15 → 90: ×6 → 4×6 =
24
→ Answer:
16/60,
24/90
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12) 3/10 = ?/20 = ?/30
- 10 → 20: ×2 → 3×2 =
6
- 10 → 30: ×3 → 3×3 =
9
→ Answer:
6/20,
9/30
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Final Answer:
1) 4, 6
2) 9, 15
3) 10, 25
4) 4, 5
5) 8, 12
6) 6, 10
7) 4, 10
8) 6, 10
9) 15, 25
10) 12, 18
11) 16, 24
12) 6, 9
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet.
