# What is the opposite and reciprocal of -7/2?

May 4, 2018

The opposite and reciprocal of $- \frac{7}{2}$ is $\frac{2}{7}$.

#### Explanation:

With a number x, the reciprocal is known as $\frac{1}{x}$.
So we have our x = $- \frac{7}{2}$, our reciprocal $\frac{1}{x}$ $\implies$ $\frac{1}{- \frac{7}{2}}$ $\implies$ $- \frac{2}{7}$.
$- \left(- \frac{2}{7}\right)$ $\implies$ $\frac{2}{7}$.
Since it had asked for the opposite and reciprocal of $- \frac{7}{2}$, we are done, $\frac{2}{7}$.