Answer
$\dfrac{4}{25}$
Work Step by Step
The given expression, $
-\dfrac{3}{5}\div\left(-\dfrac{4}{15} \right)
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{-3(-4)}{5(15)}
\\\\=
\dfrac{-\cancel{3}(-4)}{5(\cancel{3}\cdot5)}
\\\\=
\dfrac{4}{25}
.\end{array}
