#### Answer

$\frac{\frac{1}{2}}{\frac{3}{4}}$ = $\frac{2}{3}$

#### Work Step by Step

$\frac{\frac{1}{2}}{\frac{3}{4}}$
$\frac{1}{2}$ x $\frac{4}{3}$
Rewrite using multiplication (multiply numerator by reciprocal of $\frac{3}{4}$)
$\frac{4}{6}$
Multiply 1x4 to get 4 for numerator, and 2x3 to get 6 for the denominator
$\frac{2}{3}$
Simplify to get final answer.