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{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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2. $ \frac{5}{15} $
- GCD of 5 and 15 is
5
- $ \frac{5 \div 5}{15 \div 5} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
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3. $ \frac{9}{12} $
- GCD of 9 and 12 is
3
- $ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
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4. $ \frac{16}{24} $
- GCD of 16 and 24 is
8
- $ \frac{16 \div 8}{24 \div 8} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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5. $ \frac{7}{49} $
- GCD of 7 and 49 is
7
- $ \frac{7 \div 7}{49 \div 7} = \frac{1}{7} $
✔ Answer: $ \frac{1}{7} $
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6. $ \frac{12}{30} $
- GCD of 12 and 30 is
6
- $ \frac{12 \div 6}{30 \div 6} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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7. $ \frac{14}{56} $
- GCD of 14 and 56 is
14
- $ \frac{14 \div 14}{56 \div 14} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
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8. $ \frac{36}{40} $
- GCD of 36 and 40 is
4
- $ \frac{36 \div 4}{40 \div 4} = \frac{9}{10} $
✔ Answer: $ \frac{9}{10} $
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9. $ \frac{18}{38} $
- GCD of 18 and 38 is
2
- $ \frac{18 \div 2}{38 \div 2} = \frac{9}{19} $
✔ Answer: $ \frac{9}{19} $
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10. $ \frac{25}{40} $
- GCD of 25 and 40 is
5
- $ \frac{25 \div 5}{40 \div 5} = \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
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✔ Final Answers:
1. $ \frac{2}{5} $
2. $ \frac{1}{3} $
3. $ \frac{3}{4} $
4. $ \frac{2}{3} $
5. $ \frac{1}{7} $
6. $ \frac{2}{5} $
7. $ \frac{1}{4} $
8. $ \frac{9}{10} $
9. $ \frac{9}{19} $
10. $ \frac{5}{8} $
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Let me know if you'd like a printable version or explanation with visuals!
Parent Tip: Review the logic above to help your child master the concept of simplest form fractions worksheet.
