Question

The multiplicative inverse of $\frac{-13}{19}$ is $\frac{-19}{q}$, then the value of $q$ is equal to ?

Answer 1

Let $x$ be the multiplicative inverse
Therefore,
$\frac{-13}{19}\times x=1$
$=>x=\frac{1}{\frac{-13}{19}}$
$=>x=\frac{19}{-13}$

$\therefore q=13$