Answer
$\frac{1}{2}$
Work Step by Step
Substitute the given values and simplify.
$\frac{x}{y}=\frac{\frac{3}{8}}{\frac{3}{4}}$ multiply by the reciprocal
$=\frac{3}{8}\times\frac{4}{3}$ cancel common factors
$\frac{/\!\!3}{/\!\!4\times2}\times\frac{/\!\!4}{/\!\!3}$
$=\frac{1}{2}$