Answer
$\dfrac{3}{16}$
Work Step by Step
Multiplying by the reciprocal of the divisor, the given expression, $
\dfrac{9}{16}\div3
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{9}{16}\cdot\dfrac{1}{3}
\\\\=
\dfrac{9(1)}{16(3)}
\\\\=
\dfrac{\cancel{3}\cdot3}{16(\cancel{3})}
\\\\=
\dfrac{3}{16}
.\end{array}
