Free Printable Simplifying Fractions Worksheets for Kids ... - Free Printable

To simplify fractions, we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this GCD. Let's solve each fraction step by step.

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1. Simplify \(\frac{12}{8}\)

- Step 1: Find the GCD of 12 and 8.
- Factors of 12: \(1, 2, 3, 4, 6, 12\)
- Factors of 8: \(1, 2, 4, 8\)
- GCD = 4
- Step 2: Divide both the numerator and the denominator by 4.
\[
\frac{12 \div 4}{8 \div 4} = \frac{3}{2}
\]
- Answer: \(\boxed{\frac{3}{2}}\)

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2. Simplify \(\frac{22}{14}\)

- Step 1: Find the GCD of 22 and 14.
- Factors of 22: \(1, 2, 11, 22\)
- Factors of 14: \(1, 2, 7, 14\)
- GCD = 2
- Step 2: Divide both the numerator and the denominator by 2.
\[
\frac{22 \div 2}{14 \div 2} = \frac{11}{7}
\]
- Answer: \(\boxed{\frac{11}{7}}\)

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3. Simplify \(\frac{36}{27}\)

- Step 1: Find the GCD of 36 and 27.
- Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
- Factors of 27: \(1, 3, 9, 27\)
- GCD = 9
- Step 2: Divide both the numerator and the denominator by 9.
\[
\frac{36 \div 9}{27 \div 9} = \frac{4}{3}
\]
- Answer: \(\boxed{\frac{4}{3}}\)

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4. Simplify \(\frac{42}{72}\)

- Step 1: Find the GCD of 42 and 72.
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- Factors of 72: \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\)
- GCD = 6
- Step 2: Divide both the numerator and the denominator by 6.
\[
\frac{42 \div 6}{72 \div 6} = \frac{7}{12}
\]
- Answer: \(\boxed{\frac{7}{12}}\)

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5. Simplify \(\frac{24}{15}\)

- Step 1: Find the GCD of 24 and 15.
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 15: \(1, 3, 5, 15\)
- GCD = 3
- Step 2: Divide both the numerator and the denominator by 3.
\[
\frac{24 \div 3}{15 \div 3} = \frac{8}{5}
\]
- Answer: \(\boxed{\frac{8}{5}}\)

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6. Simplify \(\frac{96}{40}\)

- Step 1: Find the GCD of 96 and 40.
- Factors of 96: \(1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96\)
- Factors of 40: \(1, 2, 4, 5, 8, 10, 20, 40\)
- GCD = 8
- Step 2: Divide both the numerator and the denominator by 8.
\[
\frac{96 \div 8}{40 \div 8} = \frac{12}{5}
\]
- Answer: \(\boxed{\frac{12}{5}}\)

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7. Simplify \(\frac{52}{13}\)

- Step 1: Find the GCD of 52 and 13.
- Factors of 52: \(1, 2, 4, 13, 26, 52\)
- Factors of 13: \(1, 13\)
- GCD = 13
- Step 2: Divide both the numerator and the denominator by 13.
\[
\frac{52 \div 13}{13 \div 13} = \frac{4}{1} = 4
\]
- Answer: \(\boxed{4}\)

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8. Simplify \(\frac{56}{21}\)

- Step 1: Find the GCD of 56 and 21.
- Factors of 56: \(1, 2, 4, 7, 8, 14, 28, 56\)
- Factors of 21: \(1, 3, 7, 21\)
- GCD = 7
- Step 2: Divide both the numerator and the denominator by 7.
\[
\frac{56 \div 7}{21 \div 7} = \frac{8}{3}
\]
- Answer: \(\boxed{\frac{8}{3}}\)

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9. Simplify \(\frac{62}{26}\)

- Step 1: Find the GCD of 62 and 26.
- Factors of 62: \(1, 2, 31, 62\)
- Factors of 26: \(1, 2, 13, 26\)
- GCD = 2
- Step 2: Divide both the numerator and the denominator by 2.
\[
\frac{62 \div 2}{26 \div 2} = \frac{31}{13}
\]
- Answer: \(\boxed{\frac{31}{13}}\)

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10. Simplify \(\frac{108}{27}\)

- Step 1: Find the GCD of 108 and 27.
- Factors of 108: \(1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108\)
- Factors of 27: \(1, 3, 9, 27\)
- GCD = 27
- Step 2: Divide both the numerator and the denominator by 27.
\[
\frac{108 \div 27}{27 \div 27} = \frac{4}{1} = 4
\]
- Answer: \(\boxed{4}\)

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11. Simplify \(\frac{121}{55}\)

- Step 1: Find the GCD of 121 and 55.
- Factors of 121: \(1, 11, 121\)
- Factors of 55: \(1, 5, 11, 55\)
- GCD = 11
- Step 2: Divide both the numerator and the denominator by 11.
\[
\frac{121 \div 11}{55 \div 11} = \frac{11}{5}
\]
- Answer: \(\boxed{\frac{11}{5}}\)

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12. Simplify \(\frac{52}{28}\)

- Step 1: Find the GCD of 52 and 28.
- Factors of 52: \(1, 2, 4, 13, 26, 52\)
- Factors of 28: \(1, 2, 4, 7, 14, 28\)
- GCD = 4
- Step 2: Divide both the numerator and the denominator by 4.
\[
\frac{52 \div 4}{28 \div 4} = \frac{13}{7}
\]
- Answer: \(\boxed{\frac{13}{7}}\)

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13. Simplify \(\frac{80}{140}\)

- Step 1: Find the GCD of 80 and 140.
- Factors of 80: \(1, 2, 4, 5, 8, 10, 16, 20, 40, 80\)
- Factors of 140: \(1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140\)
- GCD = 20
- Step 2: Divide both the numerator and the denominator by 20.
\[
\frac{80 \div 20}{140 \div 20} = \frac{4}{7}
\]
- Answer: \(\boxed{\frac{4}{7}}\)

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14. Simplify \(\frac{45}{135}\)

- Step 1: Find the GCD of 45 and 135.
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 135: \(1, 3, 5, 9, 15, 27, 45, 135\)
- GCD = 45
- Step 2: Divide both the numerator and the denominator by 45.
\[
\frac{45 \div 45}{135 \div 45} = \frac{1}{3}
\]
- Answer: \(\boxed{\frac{1}{3}}\)

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15. Simplify \(\frac{66}{42}\)

- Step 1: Find the GCD of 66 and 42.
- Factors of 66: \(1, 2, 3, 6, 11, 22, 33, 66\)
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- GCD = 6
- Step 2: Divide both the numerator and the denominator by 6.
\[
\frac{66 \div 6}{42 \div 6} = \frac{11}{7}
\]
- Answer: \(\boxed{\frac{11}{7}}\)

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16. Simplify \(\frac{140}{50}\)

- Step 1: Find the GCD of 140 and 50.
- Factors of 140: \(1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140\)
- Factors of 50: \(1, 2, 5, 10, 25, 50\)
- GCD = 10
- Step 2: Divide both the numerator and the denominator by 10.
\[
\frac{140 \div 10}{50 \div 10} = \frac{14}{5}
\]
- Answer: \(\boxed{\frac{14}{5}}\)

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17. Simplify \(\frac{108}{144}\)

- Step 1: Find the GCD of 108 and 144.
- Factors of 108: \(1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108\)
- Factors of 144: \(1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144\)
- GCD = 36
- Step 2: Divide both the numerator and the denominator by 36.
\[
\frac{108 \div 36}{144 \div 36} = \frac{3}{4}
\]
- Answer: \(\boxed{\frac{3}{4}}\)

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18. Simplify \(\frac{60}{200}\)

- Step 1: Find the GCD of 60 and 200.
- Factors of 60: \(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60\)
- Factors of 200: \(1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200\)
- GCD = 20
- Step 2: Divide both the numerator and the denominator by 20.
\[
\frac{60 \div 20}{200 \div 20} = \frac{3}{10}
\]
- Answer: \(\boxed{\frac{3}{10}}\)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & \frac{3}{2} \\
2. & \frac{11}{7} \\
3. & \frac{4}{3} \\
4. & \frac{7}{12} \\
5. & \frac{8}{5} \\
6. & \frac{12}{5} \\
7. & 4 \\
8. & \frac{8}{3} \\
9. & \frac{31}{13} \\
10. & 4 \\
11. & \frac{11}{5} \\
12. & \frac{13}{7} \\
13. & \frac{4}{7} \\
14. & \frac{1}{3} \\
15. & \frac{11}{7} \\
16. & \frac{14}{5} \\
17. & \frac{3}{4} \\
18. & \frac{3}{10} \\
\end{array}
}
\]