Question

The multiplicative inverse of $\frac{-5}{8}\times \frac{-3}{7}$ is $\frac{p}{15}$, then $p$ is equal to

Answer 1

$\frac{-5}{8}\times \frac{-3}{7}=\frac{15}{56}$
Let $x$ be the multiplicative inverse
Therefore,
$\frac{15}{56}\times x=1$
$=>x=\frac{1}{\frac{15}{56}}$
$=>x=\frac{56}{15}$

$\therefore p=56$