Simplifying Fractions Worksheets - Math Monks - Free Printable

Of course! Let's solve this Reducing Fractions Worksheet step by step.

Reducing a fraction means simplifying it to its lowest terms — that is, dividing both the numerator (top number) and denominator (bottom number) by their greatest common divisor (GCD) until no further simplification is possible.

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📝 Problem-by-Problem Solutions:

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#### 1. $\frac{5}{10}$
→ GCD of 5 and 10 is 5
→ $5 ÷ 5 = 1$, $10 ÷ 5 = 2$
✔ Answer: $\frac{1}{2}$

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#### 2. $\frac{24}{6}$
→ GCD of 24 and 6 is 6
→ $24 ÷ 6 = 4$, $6 ÷ 6 = 1$
✔ Answer: $4$ (or $\frac{4}{1}$)

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#### 3. $\frac{2}{12}$
→ GCD of 2 and 12 is 2
→ $2 ÷ 2 = 1$, $12 ÷ 2 = 6$
✔ Answer: $\frac{1}{6}$

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#### 4. $\frac{5}{50}$
→ GCD of 5 and 50 is 5
→ $5 ÷ 5 = 1$, $50 ÷ 5 = 10$
✔ Answer: $\frac{1}{10}$

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#### 5. $\frac{2}{8}$
→ GCD of 2 and 8 is 2
→ $2 ÷ 2 = 1$, $8 ÷ 2 = 4$
✔ Answer: $\frac{1}{4}$

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#### 6. $\frac{4}{12}$
→ GCD of 4 and 12 is 4
→ $4 ÷ 4 = 1$, $12 ÷ 4 = 3$
✔ Answer: $\frac{1}{3}$

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#### 7. $\frac{6}{14}$
→ GCD of 6 and 14 is 2
→ $6 ÷ 2 = 3$, $14 ÷ 2 = 7$
✔ Answer: $\frac{3}{7}$

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#### 8. $\frac{8}{64}$
→ GCD of 8 and 64 is 8
→ $8 ÷ 8 = 1$, $64 ÷ 8 = 8$
✔ Answer: $\frac{1}{8}$

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#### 9. $\frac{40}{10}$
→ GCD of 40 and 10 is 10
→ $40 ÷ 10 = 4$, $10 ÷ 10 = 1$
✔ Answer: $4$

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#### 10. $\frac{11}{22}$
→ GCD of 11 and 22 is 11
→ $11 ÷ 11 = 1$, $22 ÷ 11 = 2$
✔ Answer: $\frac{1}{2}$

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#### 11. $\frac{10}{25}$
→ GCD of 10 and 25 is 5
→ $10 ÷ 5 = 2$, $25 ÷ 5 = 5$
✔ Answer: $\frac{2}{5}$

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#### 12. $\frac{7}{28}$
→ GCD of 7 and 28 is 7
→ $7 ÷ 7 = 1$, $28 ÷ 7 = 4$
✔ Answer: $\frac{1}{4}$

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#### 13. $\frac{22}{10}$
→ GCD of 22 and 10 is 2
→ $22 ÷ 2 = 11$, $10 ÷ 2 = 5$
✔ Answer: $\frac{11}{5}$ (or as a mixed number: $2\frac{1}{5}$)

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#### 14. $\frac{25}{35}$
→ GCD of 25 and 35 is 5
→ $25 ÷ 5 = 5$, $35 ÷ 5 = 7$
✔ Answer: $\frac{5}{7}$

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#### 15. $\frac{6}{4}$
→ GCD of 6 and 4 is 2
→ $6 ÷ 2 = 3$, $4 ÷ 2 = 2$
✔ Answer: $\frac{3}{2}$ (or as a mixed number: $1\frac{1}{2}$)

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## ✔ Final Answers (for easy copying):

1. $\frac{1}{2}$
2. $4$
3. $\frac{1}{6}$
4. $\frac{1}{10}$
5. $\frac{1}{4}$
6. $\frac{1}{3}$
7. $\frac{3}{7}$
8. $\frac{1}{8}$
9. $4$
10. $\frac{1}{2}$
11. $\frac{2}{5}$
12. $\frac{1}{4}$
13. $\frac{11}{5}$
14. $\frac{5}{7}$
15. $\frac{3}{2}$

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Let me know if you’d like to see these answers written on the worksheet or explained with diagrams! 😊