Let's solve each of these fractions by simplifying them to their
simplest form. To simplify a fraction, we divide both the numerator (top number) and the denominator (bottom number) by their
greatest common divisor (GCD).
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1) $\frac{14}{20}$
- GCD of 14 and 20 is
2
- $\frac{14 ÷ 2}{20 ÷ 2} = \frac{7}{10}$
✔ Answer: $\frac{7}{10}$
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2) $\frac{4}{8}$
- GCD of 4 and 8 is
4
- $\frac{4 ÷ 4}{8 ÷ 4} = \frac{1}{2}$
✔ Answer: $\frac{1}{2}$
---
3) $\frac{9}{12}$
- GCD of 9 and 12 is
3
- $\frac{9 ÷ 3}{12 ÷ 3} = \frac{3}{4}$
✔ Answer: $\frac{3}{4}$
---
4) $\frac{12}{15}$
- GCD of 12 and 15 is
3
- $\frac{12 ÷ 3}{15 ÷ 3} = \frac{4}{5}$
✔ Answer: $\frac{4}{5}$
---
5) $\frac{8}{18}$
- GCD of 8 and 18 is
2
- $\frac{8 ÷ 2}{18 ÷ 2} = \frac{4}{9}$
✔ Answer: $\frac{4}{9}$
---
6) $\frac{14}{21}$
- GCD of 14 and 21 is
7
- $\frac{14 ÷ 7}{21 ÷ 7} = \frac{2}{3}$
✔ Answer: $\frac{2}{3}$
---
7) $\frac{12}{16}$
- GCD of 12 and 16 is
4
- $\frac{12 ÷ 4}{16 ÷ 4} = \frac{3}{4}$
✔ Answer: $\frac{3}{4}$
---
8) $\frac{10}{24}$
- GCD of 10 and 24 is
2
- $\frac{10 ÷ 2}{24 ÷ 2} = \frac{5}{12}$
✔ Answer: $\frac{5}{12}$
---
9) $\frac{15}{35}$
- GCD of 15 and 35 is
5
- $\frac{15 ÷ 5}{35 ÷ 5} = \frac{3}{7}$
✔ Answer: $\frac{3}{7}$
---
10) $\frac{13}{26}$
- GCD of 13 and 26 is
13
- $\frac{13 ÷ 13}{26 ÷ 13} = \frac{1}{2}$
✔ Answer: $\frac{1}{2}$
---
11) $\frac{11}{55}$
- GCD of 11 and 55 is
11
- $\frac{11 ÷ 11}{55 ÷ 11} = \frac{1}{5}$
✔ Answer: $\frac{1}{5}$
---
12) $\frac{9}{21}$
- GCD of 9 and 21 is
3
- $\frac{9 ÷ 3}{21 ÷ 3} = \frac{3}{7}$
✔ Answer: $\frac{3}{7}$
---
13) $\frac{16}{26}$
- GCD of 16 and 26 is
2
- $\frac{16 ÷ 2}{26 ÷ 2} = \frac{8}{13}$
✔ Answer: $\frac{8}{13}$
---
14) $\frac{20}{32}$
- GCD of 20 and 32 is
4
- $\frac{20 ÷ 4}{32 ÷ 4} = \frac{5}{8}$
✔ Answer: $\frac{5}{8}$
---
15) $\frac{18}{24}$
- GCD of 18 and 24 is
6
- $\frac{18 ÷ 6}{24 ÷ 6} = \frac{3}{4}$
✔ Answer: $\frac{3}{4}$
---
16) $\frac{21}{27}$
- GCD of 21 and 27 is
3
- $\frac{21 ÷ 3}{27 ÷ 3} = \frac{7}{9}$
✔ Answer: $\frac{7}{9}$
---
17) $\frac{4}{32}$
- GCD of 4 and 32 is
4
- $\frac{4 ÷ 4}{32 ÷ 4} = \frac{1}{8}$
✔ Answer: $\frac{1}{8}$
---
18) $\frac{25}{40}$
- GCD of 25 and 40 is
5
- $\frac{25 ÷ 5}{40 ÷ 5} = \frac{5}{8}$
✔ Answer: $\frac{5}{8}$
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✔ Final Answers:
1) $\frac{7}{10}$
2) $\frac{1}{2}$
3) $\frac{3}{4}$
4) $\frac{4}{5}$
5) $\frac{4}{9}$
6) $\frac{2}{3}$
7) $\frac{3}{4}$
8) $\frac{5}{12}$
9) $\frac{3}{7}$
10) $\frac{1}{2}$
11) $\frac{1}{5}$
12) $\frac{3}{7}$
13) $\frac{8}{13}$
14) $\frac{5}{8}$
15) $\frac{3}{4}$
16) $\frac{7}{9}$
17) $\frac{1}{8}$
18) $\frac{5}{8}$
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🔍 Tips for Simplifying Fractions:
- Always find the
greatest common divisor (GCD) of the numerator and denominator.
- Divide both numbers by the GCD.
- If you're unsure about the GCD, try dividing by small primes like 2, 3, 5, etc., step by step.
Let me know if you'd like a printable version or explanation with diagrams!
Parent Tip: Review the logic above to help your child master the concept of simplest form fractions worksheet.
