Question

9 ÷ \frac{4}{5}

Explanation:

Step1: Recall division of fraction rule

To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. The reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$. So, $9\div\frac{4}{5}=9\times\frac{5}{4}$.

Step2: Multiply the integer and fraction

Multiply the numerator of the fraction with the integer: $9\times\frac{5}{4}=\frac{9\times5}{4}=\frac{45}{4}$. We can also write this as a mixed number: $11\frac{1}{4}$.

Answer:

$\frac{45}{4}$ (or $11\frac{1}{4}$)