Simplify Fractions Worksheet (examples, answers, videos, activities) - Free Printable

To simplify each fraction, 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.

First Row:

1. $\frac{9}{6}$:
- GCD of 9 and 6 is 3.
- Simplify: $\frac{9 \div 3}{6 \div 3} = \frac{3}{2}$.
- Answer: $\frac{3}{2}$.

2. $\frac{6}{9}$:
- GCD of 6 and 9 is 3.
- Simplify: $\frac{6 \div 3}{9 \div 3} = \frac{2}{3}$.
- Answer: $\frac{2}{3}$.

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

4. $\frac{5}{50}$:
- GCD of 5 and 50 is 5.
- Simplify: $\frac{5 \div 5}{50 \div 5} = \frac{1}{10}$.
- Answer: $\frac{1}{10}$.

Second Row:

5. $\frac{190}{50}$:
- GCD of 190 and 50 is 10.
- Simplify: $\frac{190 \div 10}{50 \div 10} = \frac{19}{5}$.
- Answer: $\frac{19}{5}$.

6. $\frac{10}{40}$:
- GCD of 10 and 40 is 10.
- Simplify: $\frac{10 \div 10}{40 \div 10} = \frac{1}{4}$.
- Answer: $\frac{1}{4}$.

7. $\frac{36}{16}$:
- GCD of 36 and 16 is 4.
- Simplify: $\frac{36 \div 4}{16 \div 4} = \frac{9}{4}$.
- Answer: $\frac{9}{4}$.

8. $\frac{4}{6}$:
- GCD of 4 and 6 is 2.
- Simplify: $\frac{4 \div 2}{6 \div 2} = \frac{2}{3}$.
- Answer: $\frac{2}{3}$.

Third Row:

9. $\frac{42}{15}$:
- GCD of 42 and 15 is 3.
- Simplify: $\frac{42 \div 3}{15 \div 3} = \frac{14}{5}$.
- Answer: $\frac{14}{5}$.

10. $\frac{8}{20}$:
- GCD of 8 and 20 is 4.
- Simplify: $\frac{8 \div 4}{20 \div 4} = \frac{2}{5}$.
- Answer: $\frac{2}{5}$.

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

12. $\frac{6}{15}$:
- GCD of 6 and 15 is 3.
- Simplify: $\frac{6 \div 3}{15 \div 3} = \frac{2}{5}$.
- Answer: $\frac{2}{5}$.

Fourth Row:

13. $\frac{4}{20}$:
- GCD of 4 and 20 is 4.
- Simplify: $\frac{4 \div 4}{20 \div 4} = \frac{1}{5}$.
- Answer: $\frac{1}{5}$.

14. $\frac{20}{50}$:
- GCD of 20 and 50 is 10.
- Simplify: $\frac{20 \div 10}{50 \div 10} = \frac{2}{5}$.
- Answer: $\frac{2}{5}$.

15. $\frac{9}{12}$:
- GCD of 9 and 12 is 3.
- Simplify: $\frac{9 \div 3}{12 \div 3} = \frac{3}{4}$.
- Answer: $\frac{3}{4}$.

16. $\frac{75}{20}$:
- GCD of 75 and 20 is 5.
- Simplify: $\frac{75 \div 5}{20 \div 5} = \frac{15}{4}$.
- Answer: $\frac{15}{4}$.

Fifth Row:

17. $\frac{8}{10}$:
- GCD of 8 and 10 is 2.
- Simplify: $\frac{8 \div 2}{10 \div 2} = \frac{4}{5}$.
- Answer: $\frac{4}{5}$.

18. $\frac{80}{30}$:
- GCD of 80 and 30 is 10.
- Simplify: $\frac{80 \div 10}{30 \div 10} = \frac{8}{3}$.
- Answer: $\frac{8}{3}$.

19. $\frac{16}{10}$:
- GCD of 16 and 10 is 2.
- Simplify: $\frac{16 \div 2}{10 \div 2} = \frac{8}{5}$.
- Answer: $\frac{8}{5}$.

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

Final Answer:

\[
\boxed{
\begin{array}{cccc}
\frac{3}{2} & \frac{2}{3} & \frac{2}{5} & \frac{1}{10} \\
\frac{19}{5} & \frac{1}{4} & \frac{9}{4} & \frac{2}{3} \\
\frac{14}{5} & \frac{2}{5} & \frac{2}{5} & \frac{2}{5} \\
\frac{1}{5} & \frac{2}{5} & \frac{3}{4} & \frac{15}{4} \\
\frac{4}{5} & \frac{8}{3} & \frac{8}{5} & \frac{1}{5}
\end{array}
}
\]