Answer
$\dfrac{3}{25}$
Work Step by Step
The given expression, $
\dfrac{2}{5}\div\dfrac{10}{3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{2}{5}\cdot\dfrac{3}{10}
\\\\=
\dfrac{2(3)}{5(10)}
\\\\=
\dfrac{\cancel{2}(3)}{5(\cancel{2}\cdot5)}
\\\\=
\dfrac{3}{25}
.\end{array}
