Answer
$\frac{7}{8}$, $-\frac{7}{8}$
Work Step by Step
We are given that a number $a$ has a reciprocal of $\frac{8}{7}$. We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$. Therefore, $a=\frac{7}{8}$.
$\frac{7}{8}\times\frac{8}{7}=1$
Also, we know that the opposite of a number $a$ is equal to $-a$. So, the opposite of $a=\frac{7}{8}$ is $-a=-\frac{7}{8}$.
