Answer
$\frac{5}{8}$
Work Step by Step
Remember, that the product of a number $a$ and its reciprocal is 1. Therefore, the reciprocal of $a$ must be $\frac{1}{a}$ (which is just $a$ flipped), so that $a\times\frac{1}{a}=1$.
Therefore, the reciprocal of $\frac{8}{5}$ is $\frac{1}{\frac{8}{5}}=1\times\frac{5}{8}=\frac{5}{8}$.
$\frac{8}{5}\times\frac{5}{8}=1$
