Equivalent Fractions worksheet for practicing fraction equivalence by identifying multipliers and completing missing values.

You're working on an Equivalent Fractions worksheet. The goal is to find what number the numerator and denominator are multiplied by to get the equivalent fraction, then fill in the missing numbers.

Remember: To create an equivalent fraction, you multiply both numerator and denominator by the same number.

Let’s solve each one step-by-step:

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Row 1

1.
`3/4 = ? / 16`
→ Denominator: 4 → 16 → multiplied by 4
→ So numerator: 3 × 4 = 12
✔ Answer: `×4` on top and bottom → `12/16`

2.
`1/3 = ? / 6`
→ 3 → 6 → multiplied by 2
→ 1 × 2 = 2
✔ Answer: `×2` → `2/6`

3.
`2/7 = ? / 49`
→ 7 → 49 → multiplied by 7
→ 2 × 7 = 14
✔ Answer: `×7` → `14/49`

4.
`4/5 = ? / 15`
→ 5 → 15 → multiplied by 3
→ 4 × 3 = 12
✔ Answer: `×3` → `12/15`

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Row 2

5.
`1/2 = ? / 16`
→ 2 → 16 → ×8
→ 1 × 8 = 8
✔ Answer: `×8` → `8/16`

6.
`3/6 = ? / 18`
→ 6 → 18 → ×3
→ 3 × 3 = 9
✔ Answer: `×3` → `9/18`

7.
`7/8 = ? / 16`
→ 8 → 16 → ×2
→ 7 × 2 = 14
✔ Answer: `×2` → `14/16`

8.
`2/3 = ? / 27`
→ 3 → 27 → ×9
→ 2 × 9 = 18
✔ Answer: `×9` → `18/27`

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Row 3

9.
`3/4 = ? / 20`
→ 4 → 20 → ×5
→ 3 × 5 = 15
✔ Answer: `×5` → `15/20`

10.
`5/9 = ? / 45`
→ 9 → 45 → ×5
→ 5 × 5 = 25
✔ Answer: `×5` → `25/45`

11.
`1/4 = ? / 24`
→ 4 → 24 → ×6
→ 1 × 6 = 6
✔ Answer: `×6` → `6/24`

12.
`11/12 = ? / 84`
→ 12 → 84 → ×7 (since 12×7=84)
→ 11 × 7 = 77
✔ Answer: `×7` → `77/84`

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Row 4

13.
`4/9 = ? / 81`
→ 9 → 81 → ×9
→ 4 × 9 = 36
✔ Answer: `×9` → `36/81`

14.
`6/8 = ? / 32`
→ 8 → 32 → ×4
→ 6 × 4 = 24
✔ Answer: `×4` → `24/32`

15.
`5/6 = ? / 48`
→ 6 → 48 → ×8
→ 5 × 8 = 40
✔ Answer: `×8` → `40/48`

16.
`2/7 = ? / 42`
→ 7 → 42 → ×6
→ 2 × 6 = 12
✔ Answer: `×6` → `12/42`

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## ✔ Final Answers Summary (Fill in the boxes):

| Fraction | Multiplier | Missing Numerator |
|----------|------------|-------------------|
| 3/4 = ?/16 | ×4 | 12 |
| 1/3 = ?/6 | ×2 | 2 |
| 2/7 = ?/49 | ×7 | 14 |
| 4/5 = ?/15 | ×3 | 12 |
| 1/2 = ?/16 | ×8 | 8 |
| 3/6 = ?/18 | ×3 | 9 |
| 7/8 = ?/16 | ×2 | 14 |
| 2/3 = ?/27 | ×9 | 18 |
| 3/4 = ?/20 | ×5 | 15 |
| 5/9 = ?/45 | ×5 | 25 |
| 1/4 = ?/24 | ×6 | 6 |
| 11/12 = ?/84 | ×7 | 77 |
| 4/9 = ?/81 | ×9 | 36 |
| 6/8 = ?/32 | ×4 | 24 |
| 5/6 = ?/48 | ×8 | 40 |
| 2/7 = ?/42 | ×6 | 12 |

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## 🧠 Key Concept Reminder:
> Equivalent fractions are created by multiplying (or dividing) both numerator and denominator by the same number. This keeps the value of the fraction unchanged.

You can now drag and drop the correct multiplier (`×2`, `×3`, etc.) into each box and write the missing numerator!

Let me know if you want this as a printable answer key or need help with simplifying fractions next! 😊