Answer
$\dfrac{5}{8}$
Work Step by Step
Using operations on real numbers, the given expression, $
\dfrac{3}{8}\div\dfrac{3}{5}
,$ evaluates to
\begin{array}{l}\require{cancel}
\dfrac{3}{8}\cdot\dfrac{5}{3}
\\\\=
\dfrac{\cancel{3}}{8}\cdot\dfrac{5}{\cancel{3}}
\\\\=
\dfrac{5}{8}
.\end{array}