Question

what is -$\frac{5}{8}$ ÷ $\frac{9}{10}$

Answer 1

$\boxed{\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c}}\\\\-\dfrac{5}{8}\div\dfrac{9}{10}=-\dfrac{5}{8}\cdot\dfrac{10}{9}=-\dfrac{5\cdot10}{8\cdot9}=-\dfrac{50}{72}=-\dfrac{50:2}{72:2}=-\dfrac{25}{36}$