Simplifying Fractions Worksheet - Free Printable

To solve the problem of simplifying fractions, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). Let's go through each fraction step by step.

First Row:

1. $\frac{4}{6}$
- Divide both numerator and denominator by 2:
\[
\frac{4 \div 2}{6 \div 2} = \frac{2}{3}
\]
- Final answer: $\frac{2}{3}$

2. $\frac{8}{16}$
- Divide both numerator and denominator by 4:
\[
\frac{8 \div 4}{16 \div 4} = \frac{2}{4}
\]
- Further simplify by dividing by 2:
\[
\frac{2 \div 2}{4 \div 2} = \frac{1}{2}
\]
- Final answer: $\frac{1}{2}$

3. $\frac{7}{21}$
- Divide both numerator and denominator by 7:
\[
\frac{7 \div 7}{21 \div 7} = \frac{1}{3}
\]
- Final answer: $\frac{1}{3}$

4. $\frac{9}{15}$
- Divide both numerator and denominator by 3:
\[
\frac{9 \div 3}{15 \div 3} = \frac{3}{5}
\]
- Final answer: $\frac{3}{5}$

Second Row:

5. $\frac{2}{10}$
- Divide both numerator and denominator by 2:
\[
\frac{2 \div 2}{10 \div 2} = \frac{1}{5}
\]
- Final answer: $\frac{1}{5}$

6. $\frac{3}{12}$
- Divide both numerator and denominator by 3:
\[
\frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\]
- Final answer: $\frac{1}{4}$

7. $\frac{5}{20}$
- Divide both numerator and denominator by 5:
\[
\frac{5 \div 5}{20 \div 5} = \frac{1}{4}
\]
- Final answer: $\frac{1}{4}$

8. $\frac{8}{20}$
- Divide both numerator and denominator by 4:
\[
\frac{8 \div 4}{20 \div 4} = \frac{2}{5}
\]
- Final answer: $\frac{2}{5}$

Third Row:

9. $\frac{4}{6}$
- Divide both numerator and denominator by 2:
\[
\frac{4 \div 2}{6 \div 2} = \frac{2}{3}
\]
- Final answer: $\frac{2}{3}$

10. $\frac{12}{24}$
- Divide both numerator and denominator by 12:
\[
\frac{12 \div 12}{24 \div 12} = \frac{1}{2}
\]
- Final answer: $\frac{1}{2}$

11. $\frac{10}{15}$
- Divide both numerator and denominator by 5:
\[
\frac{10 \div 5}{15 \div 5} = \frac{2}{3}
\]
- Final answer: $\frac{2}{3}$

12. $\frac{4}{16}$
- Divide both numerator and denominator by 4:
\[
\frac{4 \div 4}{16 \div 4} = \frac{1}{4}
\]
- Final answer: $\frac{1}{4}$

Fourth Row:

13. $\frac{9}{12}$
- Divide both numerator and denominator by 3:
\[
\frac{9 \div 3}{12 \div 3} = \frac{3}{4}
\]
- Final answer: $\frac{3}{4}$

14. $\frac{10}{30}$
- Divide both numerator and denominator by 10:
\[
\frac{10 \div 10}{30 \div 10} = \frac{1}{3}
\]
- Final answer: $\frac{1}{3}$

15. $\frac{10}{25}$
- Divide both numerator and denominator by 5:
\[
\frac{10 \div 5}{25 \div 5} = \frac{2}{5}
\]
- Final answer: $\frac{2}{5}$

16. $\frac{10}{16}$
- Divide both numerator and denominator by 2:
\[
\frac{10 \div 2}{16 \div 2} = \frac{5}{8}
\]
- Final answer: $\frac{5}{8}$

Final Answers:

\[
\boxed{
\begin{array}{cccc}
\frac{2}{3} & \frac{1}{2} & \frac{1}{3} & \frac{3}{5} \\
\frac{1}{5} & \frac{1}{4} & \frac{1}{4} & \frac{2}{5} \\
\frac{2}{3} & \frac{1}{2} & \frac{2}{3} & \frac{1}{4} \\
\frac{3}{4} & \frac{1}{3} & \frac{2}{5} & \frac{5}{8}
\end{array}
}
\]