#### Answer

$\frac{8}{3}$

#### 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 $\frac{3}{8}$ is $\frac{1}{\frac{3}{8}}=1\times\frac{8}{3}=\frac{8}{3}$.
$\frac{3}{8}\times\frac{8}{3}=1$