Equivalent fractions worksheet for students to practice creating equivalent fractions by filling in blanks.

To solve these equivalent fraction problems, we need to find the missing numbers that make the fractions equal. We do this by figuring out what number we multiply or divide by to get from one part of the fraction to the other.

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Section A:

1. 1/2 = 6/?
Multiply numerator (1) by 6 → denominator (2) × 6 = 12

2. 1/3 = 7/?
Multiply numerator (1) by 7 → denominator (3) × 7 = 21

3. 1/6 = 9/?
Multiply numerator (1) by 9 → denominator (6) × 9 = 54

4. 1/7 = ?/14
Multiply denominator (7) by 2 → numerator (1) × 2 = 2

5. 1/9 = 5/?
Multiply numerator (1) by 5 → denominator (9) × 5 = 45

6. 1/8 = 4/?
Multiply numerator (1) by 4 → denominator (8) × 4 = 32

7. 1/12 = 3/?
Multiply numerator (1) by 3 → denominator (12) × 3 = 36

8. 1/8 = ?/32
Multiply denominator (8) by 4 → numerator (1) × 4 = 4

9. 1/5 = 9/?
Multiply numerator (1) by 9 → denominator (5) × 9 = 45

10. 1/11 = 4/?
Multiply numerator (1) by 4 → denominator (11) × 4 = 44

11. 1/6 = 12/?
Multiply numerator (1) by 12 → denominator (6) × 12 = 72

12. 1/7 = ?/49
Multiply denominator (7) by 7 → numerator (1) × 7 = 7

13. 1/8 = 3/?
Multiply numerator (1) by 3 → denominator (8) × 3 = 24

14. 1/6 = 7/?
Multiply numerator (1) by 7 → denominator (6) × 7 = 42

15. 1/12 = 10/?
Multiply numerator (1) by 10 → denominator (12) × 10 = 120

16. 1/9 = ?/63
Multiply denominator (9) by 7 → numerator (1) × 7 = 7

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Section B:

1. 2/3 = 4/?
Numerator: 2 → 4 (×2), so denominator: 3 × 2 = 6

2. 4/5 = 12/?
Numerator: 4 → 12 (×3), so denominator: 5 × 3 = 15

3. 3/4 = 21/?
Numerator: 3 → 21 (×7), so denominator: 4 × 7 = 28

4. 2/5 = 10/?
Numerator: 2 → 10 (×5), so denominator: 5 × 5 = 25

5. 2/9 = 16/?
Numerator: 2 → 16 (×8), so denominator: 9 × 8 = 72

6. 9/10 = 18/?
Numerator: 9 → 18 (×2), so denominator: 10 × 2 = 20

7. 4/7 = 16/?
Numerator: 4 → 16 (×4), so denominator: 7 × 4 = 28

8. 3/11 = 27/?
Numerator: 3 → 27 (×9), so denominator: 11 × 9 = 99

9. 7/8 = ?/56
Denominator: 8 → 56 (×7), so numerator: 7 × 7 = 49

10. 2/3 = ?/36
Denominator: 3 → 36 (×12), so numerator: 2 × 12 = 24

11. 5/6 = ?/48
Denominator: 6 → 48 (×8), so numerator: 5 × 8 = 40

12. 3/7 = ?/84
Denominator: 7 → 84 (×12), so numerator: 3 × 12 = 36

13. 1/20 = ?/160
Denominator: 20 → 160 (×8), so numerator: 1 × 8 = 8

14. 3/50 = ?/150
Denominator: 50 → 150 (×3), so numerator: 3 × 3 = 9

15. 11/30 = ?/120
Denominator: 30 → 120 (×4), so numerator: 11 × 4 = 44

16. 9/25 = ?/100
Denominator: 25 → 100 (×4), so numerator: 9 × 4 = 36

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Section C:

These have multiple blanks — we’ll go step by step using the first fraction as a base.

1. 2/3 = ?/9 = 12/? = ?/21

- To get denominator 9: 3 × 3 → numerator: 2 × 3 = 6
- To get numerator 12: 2 × 6 → denominator: 3 × 6 = 18
- To get denominator 21: 3 × 7 → numerator: 2 × 7 = 14

So: 6, 18, 14

2. 3/5 = ?/25 = 36/? = 24/?

- To get denominator 25: 5 × 5 → numerator: 3 × 5 = 15
- To get numerator 36: 3 × 12 → denominator: 5 × 12 = 60
- To get numerator 24: 3 × 8 → denominator: 5 × 8 = 40

So: 15, 60, 40

3. 6/7 = ?/14 = 36/? = ?/56

- To get denominator 14: 7 × 2 → numerator: 6 × 2 = 12
- To get numerator 36: 6 × 6 → denominator: 7 × 6 = 42
- To get denominator 56: 7 × 8 → numerator: 6 × 8 = 48

So: 12, 42, 48

4. 11/20 = ?/40 = 66/? = 132/?

- To get denominator 40: 20 × 2 → numerator: 11 × 2 = 22
- To get numerator 66: 11 × 6 → denominator: 20 × 6 = 120
- To get numerator 132: 11 × 12 → denominator: 20 × 12 = 240

So: 22, 120, 240

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Final Answer:
Section A: 12, 21, 54, 2, 45, 32, 36, 4, 45, 44, 72, 7, 24, 42, 120, 7
Section B: 6, 15, 28, 25, 72, 20, 28, 99, 49, 24, 40, 36, 8, 9, 44, 36
Section C: 6, 18, 14; 15, 60, 40; 12, 42, 48; 22, 120, 240