11. \( \frac{9}{25} \div \frac{27}{15} \)

Calculate the value by following steps: - step0: Calculate: \(\frac{9}{25}\div \frac{27}{15}\) - step1: Multiply by the reciprocal: \(\frac{9}{25}\times \frac{15}{27}\) - step2: Reduce the fraction: \(\frac{9}{25}\times \frac{5}{9}\) - step3: Reduce the numbers: \(\frac{1}{5}\times 1\) - step4: Multiply: \(\frac{1}{5}\) To solve the problem \( \frac{9}{25} \div \frac{27}{15} \), we can follow these steps: 1. **Convert the division of fractions into multiplication**: \[ \frac{9}{25} \div \frac{27}{15} = \frac{9}{25} \times \frac{15}{27} \] 2. **Multiply the numerators and the denominators**: \[ = \frac{9 \times 15}{25 \times 27} \] 3. **Calculate the products**: - Numerator: \( 9 \times 15 = 135 \) - Denominator: \( 25 \times 27 = 675 \) So, we have: \[ = \frac{135}{675} \] 4. **Simplify the fraction**: - Both the numerator and denominator can be divided by 135: \[ = \frac{135 \div 135}{675 \div 135} = \frac{1}{5} \] Thus, the final answer is: \[ \frac{1}{5} \] Alternatively, this can also be expressed as \( 0.2 \).