Find the missing number and express it as a fraction in its simplest form.

$x\div \frac{8}{5}=\frac{3}{5}$

Given: $x\div \frac{8}{5}=\frac{3}{5}$

To do: Find the value of $x$

Solution:

$x\div \frac{8}{5}=\frac{3}{5}$

$x\times\frac{5}{8}=\frac{3}{5}$

$x=\frac{3}{5}\times\frac{8}{5}$

$x=\frac{24}{25}$

Therefore the value of $x$ is $\frac{24}{25}$