Simplifying Fractions Worksheet - Free Printable

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

Problem 1: $\frac{5}{15}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 5.
$$
\frac{5 \div 5}{15 \div 5} = \frac{1}{3}
$$
- Answer: $\frac{1}{3}$

Problem 2: $\frac{4}{10}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 2.
$$
\frac{4 \div 2}{10 \div 2} = \frac{2}{5}
$$
- Answer: $\frac{2}{5}$

Problem 3: $\frac{8}{12}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 4.
$$
\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

Problem 4: $\frac{12}{20}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 4.
$$
\frac{12 \div 4}{20 \div 4} = \frac{3}{5}
$$
- Answer: $\frac{3}{5}$

Problem 5: $\frac{6}{18}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 6.
$$
\frac{6 \div 6}{18 \div 6} = \frac{1}{3}
$$
- Answer: $\frac{1}{3}$

Problem 6: $\frac{10}{15}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 5.
$$
\frac{10 \div 5}{15 \div 5} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

Problem 7: $\frac{8}{14}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 2.
$$
\frac{8 \div 2}{14 \div 2} = \frac{4}{7}
$$
- Answer: $\frac{4}{7}$

Problem 8: $\frac{2}{16}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 2.
$$
\frac{2 \div 2}{16 \div 2} = \frac{1}{8}
$$
- Answer: $\frac{1}{8}$

Problem 9: $\frac{10}{25}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 5.
$$
\frac{10 \div 5}{25 \div 5} = \frac{2}{5}
$$
- Answer: $\frac{2}{5}$

Problem 10: $\frac{6}{22}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 2.
$$
\frac{6 \div 2}{22 \div 2} = \frac{3}{11}
$$
- Answer: $\frac{3}{11}$

Problem 11: $\frac{8}{20}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 4.
$$
\frac{8 \div 4}{20 \div 4} = \frac{2}{5}
$$
- Answer: $\frac{2}{5}$

Problem 12: $\frac{12}{18}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 6.
$$
\frac{12 \div 6}{18 \div 6} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

Problem 13: $\frac{9}{21}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 3.
$$
\frac{9 \div 3}{21 \div 3} = \frac{3}{7}
$$
- Answer: $\frac{3}{7}$

Problem 14: $\frac{14}{35}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 7.
$$
\frac{14 \div 7}{35 \div 7} = \frac{2}{5}
$$
- Answer: $\frac{2}{5}$

Problem 15: $\frac{18}{30}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 6.
$$
\frac{18 \div 6}{30 \div 6} = \frac{3}{5}
$$
- Answer: $\frac{3}{5}$

Problem 16: $\frac{15}{24}$

- Simplify: Divide both the numerator and the denominator by their GCD, which is 3.
$$
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
$$
- Answer: $\frac{5}{8}$

Final Answers:

$$
\boxed{
\begin{array}{ll}
1) & \frac{1}{3} \\
2) & \frac{2}{5} \\
3) & \frac{2}{3} \\
4) & \frac{3}{5} \\
5) & \frac{1}{3} \\
6) & \frac{2}{3} \\
7) & \frac{4}{7} \\
8) & \frac{1}{8} \\
9) & \frac{2}{5} \\
10) & \frac{3}{11} \\
11) & \frac{2}{5} \\
12) & \frac{2}{3} \\
13) & \frac{3}{7} \\
14) & \frac{2}{5} \\
15) & \frac{3}{5} \\
16) & \frac{5}{8} \\
\end{array}
}
$$