What is the reciprocal of $-5$?

Determine the reciprocal of $-5$.

The multiplicative inverse of a number is its reciprocal.

The reciprocal of a number, $a$ is $\frac{1}{a}$.

So, the reciprocal of $-5$ is $\frac{1}{-5}$.

Hence, the required solution is $\frac{-1}{5}$.