Grade 5 Fraction Worksheets | Free Printables | Math Worksheets - Free Printable

Let's solve each of these fraction simplification problems step by step. To simplify a fraction, we need to divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD).

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1. $\frac{3}{15}$

- GCD of 3 and 15 is 3.
- $\frac{3 \div 3}{15 \div 3} = \frac{1}{5}$

✔ Answer: $\frac{1}{5}$

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2. $\frac{18}{20}$

- GCD of 18 and 20 is 2.
- $\frac{18 \div 2}{20 \div 2} = \frac{9}{10}$

✔ Answer: $\frac{9}{10}$

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3. $\frac{22}{34}$

- GCD of 22 and 34 is 2.
- $\frac{22 \div 2}{34 \div 2} = \frac{11}{17}$

✔ Answer: $\frac{11}{17}$

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4. $\frac{10}{25}$

- GCD of 10 and 25 is 5.
- $\frac{10 \div 5}{25 \div 5} = \frac{2}{5}$

✔ Answer: $\frac{2}{5}$

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5. $\frac{9}{27}$

- GCD of 9 and 27 is 9.
- $\frac{9 \div 9}{27 \div 9} = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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6. $\frac{30}{55}$

- GCD of 30 and 55 is 5.
- $\frac{30 \div 5}{55 \div 5} = \frac{6}{11}$

✔ Answer: $\frac{6}{11}$

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7. $\frac{15}{35}$

- GCD of 15 and 35 is 5.
- $\frac{15 \div 5}{35 \div 5} = \frac{3}{7}$

✔ Answer: $\frac{3}{7}$

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8. $\frac{4}{10}$

- GCD of 4 and 10 is 2.
- $\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

✔ Answer: $\frac{2}{5}$

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9. $\frac{20}{30}$

- GCD of 20 and 30 is 10.
- $\frac{20 \div 10}{30 \div 10} = \frac{2}{3}$

✔ Answer: $\frac{2}{3}$

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10. $\frac{40}{60}$

- GCD of 40 and 60 is 20.
- $\frac{40 \div 20}{60 \div 20} = \frac{2}{3}$

✔ Answer: $\frac{2}{3}$

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✔ Final Answers:

1. $\frac{1}{5}$
2. $\frac{9}{10}$
3. $\frac{11}{17}$
4. $\frac{2}{5}$
5. $\frac{1}{3}$
6. $\frac{6}{11}$
7. $\frac{3}{7}$
8. $\frac{2}{5}$
9. $\frac{2}{3}$
10. $\frac{2}{3}$

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Let me know if you'd like this as a printable answer sheet or with visual explanations!