Simplifying Fractions Worksheets - Math Monks - Free Printable

Let’s solve each fraction reduction step by step. We’ll find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number to get the simplest form.

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1. 5/10
GCF of 5 and 10 is 5.
5 ÷ 5 = 1
10 ÷ 5 = 2
→ 1/2

2. 24/6
GCF of 24 and 6 is 6.
24 ÷ 6 = 4
6 ÷ 6 = 1
→ 4/1 or just 4

3. 2/12
GCF of 2 and 12 is 2.
2 ÷ 2 = 1
12 ÷ 2 = 6
→ 1/6

4. 5/50
GCF of 5 and 50 is 5.
5 ÷ 5 = 1
50 ÷ 5 = 10
→ 1/10

5. 2/8
GCF of 2 and 8 is 2.
2 ÷ 2 = 1
8 ÷ 2 = 4
→ 1/4

6. 4/12
GCF of 4 and 12 is 4.
4 ÷ 4 = 1
12 ÷ 4 = 3
→ 1/3

7. 6/14
GCF of 6 and 14 is 2.
6 ÷ 2 = 3
14 ÷ 2 = 7
→ 3/7

8. 8/64
GCF of 8 and 64 is 8.
8 ÷ 8 = 1
64 ÷ 8 = 8
→ 1/8

9. 40/10
GCF of 40 and 10 is 10.
40 ÷ 10 = 4
10 ÷ 10 = 1
→ 4/1 or just 4

10. 11/22
GCF of 11 and 22 is 11.
11 ÷ 11 = 1
22 ÷ 11 = 2
→ 1/2

11. 10/25
GCF of 10 and 25 is 5.
10 ÷ 5 = 2
25 ÷ 5 = 5
→ 2/5

12. 7/28
GCF of 7 and 28 is 7.
7 ÷ 7 = 1
28 ÷ 7 = 4
→ 1/4

13. 22/10
GCF of 22 and 10 is 2.
22 ÷ 2 = 11
10 ÷ 2 = 5
→ 11/5 (This is an improper fraction — it’s okay unless told to convert to mixed number.)

14. 25/35
GCF of 25 and 35 is 5.
25 ÷ 5 = 5
35 ÷ 5 = 7
→ 5/7

15. 6/4
GCF of 6 and 4 is 2.
6 ÷ 2 = 3
4 ÷ 2 = 2
→ 3/2 (Improper fraction — again, acceptable unless specified otherwise.)

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Final Answer:
1. 1/2
2. 4
3. 1/6
4. 1/10
5. 1/4
6. 1/3
7. 3/7
8. 1/8
9. 4
10. 1/2
11. 2/5
12. 1/4
13. 11/5
14. 5/7
15. 3/2