Sure! Let’s solve the
Equivalent Fractions worksheet step by step.
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📌 What are Equivalent Fractions?
Equivalent fractions are different fractions that represent the
same value. You create them by multiplying (or dividing)
both numerator and denominator by the same number.
Example:
> 1/2 = 2/4 = 3/6 — because we multiplied numerator and denominator by 2, then by 3.
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We’ll go problem by problem.
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## 🔢 Problem Set 1–6 (Left Column)
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1) 2/5 = □/10 = □/15
- To get from 5 → 10, multiply by
2 → so multiply numerator 2 × 2 =
4
- To get from 5 → 15, multiply by
3 → so 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 = □/□ = □/40
Wait — here the middle denominator is blank too. So we need to pick a reasonable equivalent fraction first, then go to 40.
Let’s find what number times 4 gives 40 → 40 ÷ 4 =
10
So multiply numerator and denominator by 10:
→ 1×10 =
10, 4×10 =
40
Now, for the middle one — let’s pick an easy multiple, like ×2:
→ 1×2 =
2, 4×2 =
8
✔ Answer:
2 / 8 = 10 / 40
*(You could also use 3/12, 4/16, etc., but 2/8 is simplest next step.)*
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## 🔢 Problem Set 7–12 (Right Column)
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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 Answers (Filled In):
Left Column:
1)
4 / 10 = 6 / 15
2)
9 / 15 = 15 / 25
3)
10 / 18 = 25 / 45
4)
4 / 24 = 5 / 30
5)
8 / 18 = 12 / 27
6)
2 / 8 = 10 / 40 *(or 3/12, 4/16, etc. — 2/8 is simplest next step)*
Right Column:
7)
4 / 6 = 10 / 15
8)
6 / 21 = 10 / 35
9)
15 / 36 = 25 / 60
10)
12 / 22 = 18 / 33
11)
16 / 60 = 24 / 90
12)
6 / 20 = 9 / 30
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## 💡 Tip for Students:
Always ask: “What did I multiply the denominator by? Multiply the numerator by the same number!”
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Let me know if you’d like this as a printable answer key or explained with visuals! 😊
Parent Tip: Review the logic above to help your child master the concept of free equivalent fraction worksheet.
