Simplifying Fractions Worksheets - Math Monks - Free Printable

Let’s go through each fraction one by one and reduce it to its simplest form.

To reduce a fraction, we find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number.

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Problem 1: 5/10

- Factors of 5: 1, 5
- Factors of 10: 1, 2, 5, 10
- GCF = 5
- Divide top and bottom by 5 → 5÷5 = 1, 10÷5 = 2
→ 1/2

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Problem 2: 24/6

- This is an improper fraction. Let’s divide 24 by 6.
- 24 ÷ 6 = 4
→ 4 (or 4/1, but usually written as whole number)

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Problem 3: 2/12

- Factors of 2: 1, 2
- Factors of 12: 1, 2, 3, 4, 6, 12
- GCF = 2
- 2÷2 = 1, 12÷2 = 6
→ 1/6

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Problem 4: 5/50

- Factors of 5: 1, 5
- Factors of 50: 1, 2, 5, 10, 25, 50
- GCF = 5
- 5÷5 = 1, 50÷5 = 10
→ 1/10

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Problem 5: 2/8

- Factors of 2: 1, 2
- Factors of 8: 1, 2, 4, 8
- GCF = 2
- 2÷2 = 1, 8÷2 = 4
→ 1/4

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Problem 6: 4/12

- Factors of 4: 1, 2, 4
- Factors of 12: 1, 2, 3, 4, 6, 12
- GCF = 4
- 4÷4 = 1, 12÷4 = 3
→ 1/3

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Problem 7: 6/14

- Factors of 6: 1, 2, 3, 6
- Factors of 14: 1, 2, 7, 14
- GCF = 2
- 6÷2 = 3, 14÷2 = 7
→ 3/7

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Problem 8: 8/64

- Factors of 8: 1, 2, 4, 8
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- GCF = 8
- 8÷8 = 1, 64÷8 = 8
→ 1/8

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Problem 9: 40/10

- 40 ÷ 10 = 4
→ 4

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Problem 10: 11/22

- Factors of 11: 1, 11
- Factors of 22: 1, 2, 11, 22
- GCF = 11
- 11÷11 = 1, 22÷11 = 2
→ 1/2

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Problem 11: 10/25

- Factors of 10: 1, 2, 5, 10
- Factors of 25: 1, 5, 25
- GCF = 5
- 10÷5 = 2, 25÷5 = 5
→ 2/5

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Problem 12: 7/28

- Factors of 7: 1, 7
- Factors of 28: 1, 2, 4, 7, 14, 28
- GCF = 7
- 7÷7 = 1, 28÷7 = 4
→ 1/4

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Problem 13: 22/10

- Factors of 22: 1, 2, 11, 22
- Factors of 10: 1, 2, 5, 10
- GCF = 2
- 22÷2 = 11, 10÷2 = 5
→ 11/5 (This is an improper fraction — can also be written as 2 1/5, but unless asked, leave as 11/5)

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Problem 14: 25/35

- Factors of 25: 1, 5, 25
- Factors of 35: 1, 5, 7, 35
- GCF = 5
- 25÷5 = 5, 35÷5 = 7
→ 5/7

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Problem 15: 6/4

- Factors of 6: 1, 2, 3, 6
- Factors of 4: 1, 2, 4
- GCF = 2
- 6÷2 = 3, 4÷2 = 2
→ 3/2 (Improper fraction — can also be 1 1/2, but again, unless specified, 3/2 is fine)

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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