Question

divide. write your answer in simplest form.\\(\frac{9}{5} div \frac{5}{2}\\)

Explanation:

Step1: Recall fraction division rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{5}{2}$ is $\frac{2}{5}$. So, $\frac{9}{5} \div \frac{5}{2} = \frac{9}{5} \times \frac{2}{5}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $9 \times 2 = 18$. Multiply the denominators: $5 \times 5 = 25$. So the result is $\frac{18}{25}$.

Answer:

$\frac{18}{25}$