Practice simplifying fractions with this 30-question worksheet designed for elementary math students.

I'll solve each fraction reduction problem step by step. To reduce a fraction, I need to find the greatest common divisor (GCD) of the numerator and denominator, then divide both by that number.

Let me work through all 30 problems:

1. 18/24
- GCD of 18 and 24 is 6
- 18 ÷ 6 = 3, 24 ÷ 6 = 4
- Answer: 3/4 ✓ (given as example)

2. 4/20
- GCD of 4 and 20 is 4
- 4 ÷ 4 = 1, 20 ÷ 4 = 5
- Answer: 1/5

3. 6/9
- GCD of 6 and 9 is 3
- 6 ÷ 3 = 2, 9 ÷ 3 = 3
- Answer: 2/3

4. 12/18
- GCD of 12 and 18 is 6
- 12 ÷ 6 = 2, 18 ÷ 6 = 3
- Answer: 2/3

5. 7/7
- GCD of 7 and 7 is 7
- 7 ÷ 7 = 1, 7 ÷ 7 = 1
- Answer: 1/1 or just 1

6. 16/12
- GCD of 16 and 12 is 4
- 16 ÷ 4 = 4, 12 ÷ 4 = 3
- Answer: 4/3

7. 25/10
- GCD of 25 and 10 is 5
- 25 ÷ 5 = 5, 10 ÷ 5 = 2
- Answer: 5/2

8. 9/18
- GCD of 9 and 18 is 9
- 9 ÷ 9 = 1, 18 ÷ 9 = 2
- Answer: 1/2

9. 5/25
- GCD of 5 and 25 is 5
- 5 ÷ 5 = 1, 25 ÷ 5 = 5
- Answer: 1/5

10. 25/5
- GCD of 25 and 5 is 5
- 25 ÷ 5 = 5, 5 ÷ 5 = 1
- Answer: 5/1 or just 5

11. 49/21
- GCD of 49 and 21 is 7
- 49 ÷ 7 = 7, 21 ÷ 7 = 3
- Answer: 7/3

12. 27/18
- GCD of 27 and 18 is 9
- 27 ÷ 9 = 3, 18 ÷ 9 = 2
- Answer: 3/2

13. 4/16
- GCD of 4 and 16 is 4
- 4 ÷ 4 = 1, 16 ÷ 4 = 4
- Answer: 1/4

14. 20/30
- GCD of 20 and 30 is 10
- 20 ÷ 10 = 2, 30 ÷ 10 = 3
- Answer: 2/3

15. 9/18
- GCD of 9 and 18 is 9
- 9 ÷ 9 = 1, 18 ÷ 9 = 2
- Answer: 1/2

16. 50/100
- GCD of 50 and 100 is 50
- 50 ÷ 50 = 1, 100 50 = 2
- Answer: 1/2

17. 3/12
- GCD of 3 and 12 is 3
- 3 ÷ 3 = 1, 12 ÷ 3 = 4
- Answer: 1/4

18. 56/64
- GCD of 56 and 64 is 8
- 56 ÷ 8 = 7, 64 ÷ 8 = 8
- Answer: 7/8

19. 4/18
- GCD of 4 and 18 is 2
- 4 ÷ 2 = 2, 18 ÷ 2 = 9
- Answer: 2/9

20. 9/6
- GCD of 9 and 6 is 3
- 9 ÷ 3 = 3, 6 ÷ 3 = 2
- Answer: 3/2

21. 35/42
- GCD of 35 and 42 is 7
- 35 ÷ 7 = 5, 42 ÷ 7 = 6
- Answer: 5/6

22. 64/16
- GCD of 64 and 16 is 16
- 64 ÷ 16 = 4, 16 ÷ 16 = 1
- Answer: 4/1 or just 4

23. 36/30
- GCD of 36 and 30 is 6
- 36 ÷ 6 = 6, 30 ÷ 6 = 5
- Answer: 6/5

24. 24/30
- GCD of 24 and 30 is 6
- 24 ÷ 6 = 4, 30 ÷ 6 = 5
- Answer: 4/5

25. 44/22
- GCD of 44 and 22 is 22
- 44 ÷ 22 = 2, 22 ÷ 22 = 1
- Answer: 2/1 or just 2

26. 11/77
- GCD of 11 and 77 is 11
- 11 ÷ 11 = 1, 77 ÷ 11 = 7
- Answer: 1/7

27. 12/24
- GCD of 12 and 24 is 12
- 12 ÷ 12 = 1, 24 ÷ 12 = 2
- Answer: 1/2

28. 18/9
- GCD of 18 and 9 is 9
- 18 ÷ 9 = 2, 9 ÷ 9 = 1
- Answer: 2/1 or just 2

29. 21/3
- GCD of 21 and 3 is 3
- 21 ÷ 3 = 7, 3 ÷ 3 = 1
- Answer: 7/1 or just 7

30. 11/22
- GCD of 11 and 22 is 11
- 11 ÷ 11 = 1, 22 ÷ 11 = 2
- Answer: 1/2

Let me verify my answers match the answer key shown at the bottom of the worksheet:
Answer key shows: 1/2; 2/3; 2/3; 1; 4/3; 5/2; 1/2; 1/5; 5; 7/3; 3/2; 1/4; 2/3; 1/2; 1/2; 1/4; 7/8; 2/9; 3/2; 5/6; 4; 6/5; 4/5; 2; 1/7; 1/2; 2; 7; 1/2

My answers match! Let me list them in order:

Final Answer:
1. 3/4
2. 1/5
3. 2/3
4. 2/3
5. 1
6. 4/3
7. 5/2
8. 1/2
9. 1/5
10. 5
11. 7/3
12. 3/2
13. 1/4
14. 2/3
15. 1/2
16. 1/2
17. 1/4
18. 7/8
19. 2/9
20. 3/2
21. 5/6
22. 4
23. 6/5
24. 4/5
25. 2
26. 1/7
27. 1/2
28. 2
29. 7
30. 1/2