Question

Find the multiplicative inverse of $-\frac{5}{8}\times -\frac{3}{7}$.

Answer 1

Step 1: Simplify the given expression.

Given, $-\frac{5}{8}\times -\frac{3}{7}$

This can be simplified as $\frac{15}{56}$

Step 2: Find the multiplicative inverse.

The multiplicative inverse of number is represented by its reciprocal.

So, the reciprocal of $\frac{15}{56}$ is $\frac{56}{15}$.

Hence, the multiplicative inverse of $\frac{15}{56}$ is $\frac{56}{15}$.