Answer
$\frac{5}{12}$
Work Step by Step
$\frac{5}{16}\div\frac{3}{4}\ \longrightarrow$ multiply by inverse
$\frac{5}{16}\times\frac{4}{3}\ \longrightarrow$ multiply numerators and denominators
$\frac{5\times4}{16\times3}\ \longrightarrow$ simplify
$\frac{20}{48}\ \longrightarrow$ reduce
$\frac{20\div4}{48\div4}\ \longrightarrow$simplify
$\frac{5}{12}$