Simplify fractions worksheet for students to practice reducing fractions to their lowest terms.

Let’s simplify each fraction step by step. To simplify a fraction, we find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number.

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1. 6/9
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
GCF = 3
6 ÷ 3 = 2
9 ÷ 3 = 3
→ 2/3

2. 5/10
Factors of 5: 1, 5
Factors of 10: 1, 2, 5, 10
GCF = 5
5 ÷ 5 = 1
10 ÷ 5 = 2
→ 1/2

3. 9/15
Factors of 9: 1, 3, 9
Factors of 15: 1, 3, 5, 15
GCF = 3
9 ÷ 3 = 3
15 ÷ 3 = 5
→ 3/5

4. 26/28
Factors of 26: 1, 2, 13, 26
Factors of 28: 1, 2, 4, 7, 14, 28
GCF = 2
26 ÷ 2 = 13
28 ÷ 2 = 14
→ 13/14

5. 4/14
Factors of 4: 1, 2, 4
Factors of 14: 1, 2, 7, 14
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
→ 2/7

6. 10/20
Factors of 10: 1, 2, 5, 10
Factors of 20: 1, 2, 4, 5, 10, 20
GCF = 10
10 ÷ 10 = 1
20 ÷ 10 = 2
→ 1/2

7. 12/21
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 21: 1, 3, 7, 21
GCF = 3
12 ÷ 3 = 4
21 ÷ 3 = 7
→ 4/7

8. 16/30
Factors of 16: 1, 2, 4, 8, 16
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
GCF = 2
16 ÷ 2 = 8
30 ÷ 2 = 15
→ 8/15

9. 40/50
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 50: 1, 2, 5, 10, 25, 50
GCF = 10
40 ÷ 10 = 4
50 ÷ 10 = 5
→ 4/5

10. 11/33
Factors of 11: 1, 11
Factors of 33: 1, 3, 11, 33
GCF = 11
11 ÷ 11 = 1
33 ÷ 11 = 3
→ 1/3

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