# How do you divide (x+9)/(x-1) div(3)/(5)?

$\frac{x + 9}{x - 1} \div \frac{3}{5}$
here to perform division , we can multiply the first term with the reciprocal of $\frac{3}{5}$
$\left(\frac{x + 9}{x - 1}\right) \times \frac{5}{3}$
$= \frac{5 x + 45}{3 x - 3}$