Question

What is the multiplicative inverse of $-\frac{4}{7}$?

Answer 1

Determine the multiplicative inverse of $-\frac{4}{7}$.

Multiplicative inverse implies the reciprocal of a number.

In other words, the product of a number and its reciprocal is $1$.

The multiplicative inverse of $-\frac{4}{7}$ is:

$\frac{1}{-{\displaystyle \frac{4}{7}}}=-\frac{7}{4}$

Hence, the reciprocal of a given number is $-\frac{7}{4}$.