Equivalent Fractions (A) worksheet for practicing fraction equivalence with multiple exercises.

I'll solve this equivalent fractions worksheet step by step, checking each calculation carefully.

Section A:

1. 1/2 = 2/__
- To get from 1 to 2 in the numerator, multiply by 2
- So multiply denominator by 2: 2 × 2 = 4
- Answer: 4

2. 1/3 = 3/__
- To get from 1 to 3 in the numerator, multiply by 3
- So multiply denominator by 3: 3 × 3 = 9
- Answer: 9

3. 1/4 = 4/__
- To get from 1 to 4 in the numerator, multiply by 4
- So multiply denominator by 4: 4 × 4 = 16
- Answer: 16

4. 1/5 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 5 × 5 = 25
- Answer: 25

5. 1/2 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 2 × 5 = 10
- Answer: 10

6. 1/3 = 4/__
- To get from 1 to 4 in the numerator, multiply by 4
- So multiply denominator by 4: 3 × 4 = 12
- Answer: 12

7. 1/4 = 2/__
- To get from 1 to 2 in the numerator, multiply by 2
- So multiply denominator by 2: 4 × 2 = 8
- Answer: 8

8. 1/5 = 3/__
- To get from 1 to 3 in the numerator, multiply by 3
- So multiply denominator by 3: 5 × 3 = 15
- Answer: 15

9. 1/2 = __/20
- To get from 2 to 20 in the denominator, multiply by 10
- So multiply numerator by 10: 1 × 10 = 10
- Answer: 10

10. 1/3 = __/15
- To get from 3 to 15 in the denominator, multiply by 5
- So multiply numerator by 5: 1 × 5 = 5
- Answer: 5

11. 1/4 = __/12
- To get from 4 to 12 in the denominator, multiply by 3
- So multiply numerator by 3: 1 × 3 = 3
- Answer: 3

12. 1/5 = __/20
- To get from 5 to 20 in the denominator, multiply by 4
- So multiply numerator by 4: 1 × 4 = 4
- Answer: 4

13. 1/2 = __/8
- To get from 2 to 8 in the denominator, multiply by 4
- So multiply numerator by 4: 1 × 4 = 4
- Answer: 4

14. 1/3 = __/6
- To get from 3 to 6 in the denominator, multiply by 2
- So multiply numerator by 2: 1 × 2 = 2
- Answer: 2

15. 1/4 = __/20
- To get from 4 to 20 in the denominator, multiply by 5
- So multiply numerator by 5: 1 × 5 = 5
- Answer: 5

16. 1/5 = __/25
- To get from 5 to 25 in the denominator, multiply by 5
- So multiply numerator by 5: 1 × 5 = 5
- Answer: 5

Section B:

17. 1/2 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 2 × 5 = 10
- Answer: 10

18. 1/2 = 4/__
- To get from 1 to 4 in the numerator, multiply by 4
- So multiply denominator by 4: 2 × 4 = 8
- Answer: 8

19. 1/2 = 3/__
- To get from 1 to 3 in the numerator, multiply by 3
- So multiply denominator by 3: 2 × 3 = 6
- Answer: 6

20. 1/2 = __/12
- To get from 2 to 12 in the denominator, multiply by 6
- So multiply numerator by 6: 1 × 6 = 6
- Answer: 6

21. 1/3 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 3 × 5 = 15
- Answer: 15

22. 1/3 = 4/__
- To get from 1 to 4 in the numerator, multiply by 4
- So multiply denominator by 4: 3 × 4 = 12
- Answer: 12

23. 1/3 = 3/__
- To get from 1 to 3 in the numerator, multiply by 3
- So multiply denominator by 3: 3 × 3 = 9
- Answer: 9

24. 1/3 = __/12
- To get from 3 to 12 in the denominator, multiply by 4
- So multiply numerator by 4: 1 × 4 = 4
- Answer: 4

25. 1/4 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 4 × 5 = 20
- Answer: 20

26. 1/4 = 4/__
- To get from 1 to 4 in the numerator, multiply by 4
- So multiply denominator by 4: 4 × 4 = 16
- Answer: 16

27. 1/4 = 3/__
- To get from 1 to 3 in the numerator, multiply by 3
- So multiply denominator by 3: 4 × 3 = 12
- Answer: 12

28. 1/4 = __/12
- To get from 4 to 12 in the denominator, multiply by 3
- So multiply numerator by 3: 1 × 3 = 3
- Answer: 3

29. 1/5 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 5 × 5 = 25
- Answer: 25

30. 1/4 = 8/__
- To get from 1 to 8 in the numerator, multiply by 8
- So multiply denominator by 8: 4 × 8 = 32
- Answer: 32

31. 1/4 = 5/__
- To get from 1 to 5 in the numerator, multiply by 5
- So multiply denominator by 5: 4 × 5 = 20
- Answer: 20

32. 1/4 = __/16
- To get from 4 to 16 in the denominator, multiply by 4
- So multiply numerator by 4: 1 × 4 = 4
- Answer: 4

Section C:

33. 1/2 = __/8 and 3/__ = __/4
- First part: 1/2 = __/8 → multiply by 4 → 4/8
- Second part: 3/__ = __/4 → This needs both blanks filled
- If we want 3/x = y/4, let's think about it differently
- Looking at the pattern, it seems like: 3/6 = 2/4 (both equal 1/2)
- Let me check: 3/6 = 1/2 ✓ and 2/4 = 1/2 ✓
- Answers: 4, 6, 2

34. 1/5 = __/25 and 4/__ = 2/__
- First part: 1/5 = __/25 → multiply by 5 → 5/25
- Second part: 4/__ = 2/__ → If 4/x = 2/y, then x = 2y
- Looking for equivalent fractions: 4/8 = 2/4 (both equal 1/2)
- Or could be: 4/10 = 2/5 (both equal 2/5)
- Based on the first fraction being 1/5, likely: 4/20 = 2/10 (both equal 1/5)
- Answers: 5, 20, 10

35. 1/3 = __/12 and 3/__ = __/24
- First part: 1/3 = __/12 → multiply by 4 → 4/12
- Second part: 3/__ = __/24 → If 3/x = y/24
- Since 1/3 = 4/12, then 3/9 = 8/24 (both equal 1/3)
- Let me verify: 3/9 = 1/3 ✓ and 8/24 = 1/3 ✓
- Answers: 4, 9, 8

36. 1/4 = __/20 and 6/__ = 2/__
- First part: 1/4 = __/20 → multiply by 5 → 5/20
- Second part: 6/__ = 2/__ → If 6/x = 2/y, then x = 3y
- Since 1/4 = 5/20, then 6/24 = 2/8 (both equal 1/4)
- Let me verify: 6/24 = 1/4 ✓ and 2/8 = 1/4 ✓
- Answers: 5, 24, 8

Let me double-check Section C more carefully:

For #33: 1/2 = __/8 and 3/__ = __/4
- 1/2 = 4/8 ✓
- For 3/__ = __/4, if both equal 1/2: 3/6 = 2/4 ✓

For #34: 1/5 = __/25 and 4/__ = 2/__
- 1/5 = 5/25 ✓
- For 4/__ = 2/__, if both equal 1/5: 4/20 = 2/10 ✓

For #35: 1/3 = __/12 and 3/__ = __/24
- 1/3 = 4/12 ✓
- For 3/__ = __/24, if both equal 1/3: 3/9 = 8/24 ✓

For #36: 1/4 = __/20 and 6/__ = 2/__
- 1/4 = 5/20 ✓
- For 6/__ = 2/__, if both equal 1/4: 6/24 = 2/8 ✓

All calculations verified!

Final Answer:
Section A: 4, 9, 16, 25, 10, 12, 8, 15, 10, 5, 3, 4, 4, 2, 5, 5

Section B: 10, 8, 6, 6, 15, 12, 9, 4, 20, 16, 12, 3, 25, 32, 20, 4

Section C:
#33: 4, 6, 2
#34: 5, 20, 10
#35: 4, 9, 8
#36: 5, 24, 8