Equivalent Fractions Worksheet

Name: ____________________________
Class: ____________________________
Date: ____________________________

A. Complete the Equivalent Fractions

Fill in the missing number.

1. 1/2 = ___/4
2. 1/3 = ___/6
3. 2/3 = ___/9
4. 1/4 = ___/8
5. 3/4 = ___/12
6. 2/5 = ___/10
7. 3/5 = ___/15
8. 4/5 = ___/20
9. 1/6 = ___/12
10. 5/6 = ___/18

B. Find the Missing Numerator

11. ___/6 = 1/2
12. ___/8 = 3/4
13. ___/10 = 2/5
14. ___/12 = 3/4
15. ___/15 = 2/3
16. ___/18 = 5/6
17. ___/20 = 3/5
18. ___/21 = 2/3
19. ___/24 = 5/8
20. ___/30 = 2/5

C. Find the Missing Denominator

21. 1/2 = 4/___
22. 2/3 = 6/___
23. 3/4 = 9/___
24. 2/5 = 8/___
25. 3/5 = 12/___
26. 1/3 = 5/___
27. 5/6 = 10/___
28. 2/7 = 6/___
29. 3/8 = 9/___
30. 4/9 = 12/___

D. Circle the Equivalent Fraction

31. Which fraction is equivalent to 1/2?
    a) 2/3
    b) 2/4
    c) 3/5
32. Which fraction is equivalent to 2/3?
    a) 4/6
    b) 3/5
    c) 5/8
33. Which fraction is equivalent to 3/4?
    a) 6/8
    b) 5/8
    c) 4/6
34. Which fraction is equivalent to 2/5?
    a) 4/10
    b) 5/10
    c) 6/15
35. Which fraction is equivalent to 3/5?
    a) 6/10
    b) 5/10
    c) 9/20
36. Which fraction is equivalent to 4/7?
    a) 8/14
    b) 7/14
    c) 10/21
37. Which fraction is equivalent to 5/8?
    a) 10/16
    b) 8/16
    c) 15/20
38. Which fraction is equivalent to 2/9?
    a) 4/18
    b) 3/18
    c) 6/27
39. Which fraction is equivalent to 3/10?
    a) 6/20
    b) 5/20
    c) 9/20
40. Which fraction is equivalent to 5/6?
    a) 10/12
    b) 8/12
    c) 12/15

E. Write Three Equivalent Fractions

41. Write three fractions equivalent to 1/2.
    __________________, __________________, __________________
42. Write three fractions equivalent to 2/3.
    __________________, __________________, __________________
43. Write three fractions equivalent to 3/4.
    __________________, __________________, __________________
44. Write three fractions equivalent to 2/5.
    __________________, __________________, __________________
45. Write three fractions equivalent to 3/7.
    __________________, __________________, __________________
46. Write three fractions equivalent to 4/5.
    __________________, __________________, __________________
47. Write three fractions equivalent to 5/6.
    __________________, __________________, __________________
48. Write three fractions equivalent to 2/9.
    __________________, __________________, __________________

F. True or False

49. 1/2 = 2/4. __________
50. 2/3 = 4/9. __________
51. 3/5 = 6/10. __________
52. 4/7 = 8/14. __________
53. 2/5 = 6/15. __________
54. 3/8 = 9/24. __________
55. 5/6 = 15/18. __________
56. 2/9 = 4/18. __________

G. Challenge Questions

57. Complete: 4/6 = /12 = 12/
58. Complete: 3/5 = /20 = 15/
59. Complete: 5/8 = 10/___ = ___/24
60. Complete: 2/7 = 6/___ = ___/28
61. Are 6/8 and 9/12 equivalent? __________
62. Are 4/6 and 8/12 equivalent? __________
63. Are 3/5 and 12/25 equivalent? __________
64. Which is equivalent to 7/10: 14/20, 15/20, or 21/40?
    Answer: __________________
65. Find the missing number: 7/9 = ___/27.

Total Questions: 65

Answer Key — Equivalent Fractions Worksheet

A. Complete the Equivalent Fractions

1. 2
2. 2
3. 6
4. 2
5. 9
6. 4
7. 9
8. 16
9. 2
10. 15

B. Find the Missing Numerator

11. 3
12. 6
13. 4
14. 9
15. 10
16. 15
17. 12
18. 14
19. 15
20. 12

C. Find the Missing Denominator

21. 8
22. 9
23. 12
24. 20
25. 20
26. 15
27. 12
28. 21
29. 24
30. 27

D. Circle the Equivalent Fraction

31. b) 2/4
32. a) 4/6
33. a) 6/8
34. a) 4/10
35. a) 6/10
36. a) 8/14
37. a) 10/16
38. a) 4/18
39. a) 6/20
40. a) 10/12

E. Write Three Equivalent Fractions

Sample answers:

41. 1/2 → 2/4, 3/6, 4/8
42. 2/3 → 4/6, 6/9, 8/12
43. 3/4 → 6/8, 9/12, 12/16
44. 2/5 → 4/10, 6/15, 8/20
45. 3/7 → 6/14, 9/21, 12/28
46. 4/5 → 8/10, 12/15, 16/20
47. 5/6 → 10/12, 15/18, 20/24
48. 2/9 → 4/18, 6/27, 8/36

F. True or False

49. True
50. False
51. True
52. True
53. True
54. True
55. True
56. True

G. Challenge Questions

57. 4/6 = 8/12 = 12/18
58. 3/5 = 12/20 = 15/25
59. 5/8 = 10/16 = 15/24
60. 2/7 = 6/21 = 8/28
61. Yes
62. Yes
63. No
64. 14/20
65. 21