Fractions Worksheets - Free Printable

To simplify the given fractions, we need to reduce each fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). Let's solve each fraction step by step.

1. Simplify \( \frac{3}{9} \)

- Numerator: 3
- Denominator: 9
- GCD of 3 and 9: 3
- Divide both the numerator and the denominator by 3:
\[
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]
- Simplified form: \( \frac{1}{3} \)

2. Simplify \( \frac{4}{12} \)

- Numerator: 4
- Denominator: 12
- GCD of 4 and 12: 4
- Divide both the numerator and the denominator by 4:
\[
\frac{4 \div 4}{12 \div 4} = \frac{1}{3}
\]
- Simplified form: \( \frac{1}{3} \)

3. Simplify \( \frac{10}{25} \)

- Numerator: 10
- Denominator: 25
- GCD of 10 and 25: 5
- Divide both the numerator and the denominator by 5:
\[
\frac{10 \div 5}{25 \div 5} = \frac{2}{5}
\]
- Simplified form: \( \frac{2}{5} \)

4. Simplify \( \frac{7}{14} \)

- Numerator: 7
- Denominator: 14
- GCD of 7 and 14: 7
- Divide both the numerator and the denominator by 7:
\[
\frac{7 \div 7}{14 \div 7} = \frac{1}{2}
\]
- Simplified form: \( \frac{1}{2} \)

5. Simplify \( \frac{16}{24} \)

- Numerator: 16
- Denominator: 24
- GCD of 16 and 24: 8
- Divide both the numerator and the denominator by 8:
\[
\frac{16 \div 8}{24 \div 8} = \frac{2}{3}
\]
- Simplified form: \( \frac{2}{3} \)

6. Simplify \( \frac{12}{20} \)

- Numerator: 12
- Denominator: 20
- GCD of 12 and 20: 4
- Divide both the numerator and the denominator by 4:
\[
\frac{12 \div 4}{20 \div 4} = \frac{3}{5}
\]
- Simplified form: \( \frac{3}{5} \)

7. Simplify \( \frac{15}{25} \)

- Numerator: 15
- Denominator: 25
- GCD of 15 and 25: 5
- Divide both the numerator and the denominator by 5:
\[
\frac{15 \div 5}{25 \div 5} = \frac{3}{5}
\]
- Simplified form: \( \frac{3}{5} \)

8. Simplify \( \frac{21}{27} \)

- Numerator: 21
- Denominator: 27
- GCD of 21 and 27: 3
- Divide both the numerator and the denominator by 3:
\[
\frac{21 \div 3}{27 \div 3} = \frac{7}{9}
\]
- Simplified form: \( \frac{7}{9} \)

9. Simplify \( \frac{26}{39} \)

- Numerator: 26
- Denominator: 39
- GCD of 26 and 39: 13
- Divide both the numerator and the denominator by 13:
\[
\frac{26 \div 13}{39 \div 13} = \frac{2}{3}
\]
- Simplified form: \( \frac{2}{3} \)

Final Answer

\[
\boxed{\frac{1}{3}, \frac{1}{3}, \frac{2}{5}, \frac{1}{2}, \frac{2}{3}, \frac{3}{5}, \frac{3}{5}, \frac{7}{9}, \frac{2}{3}}
\]