Answer
$-\dfrac{3}{2}$
Work Step by Step
The given expression, $
\left( \dfrac{-3}{5} \right)\div\dfrac{6}{15}
$, simplifies to
\begin{array}{l}\require{cancel}
\left( \dfrac{-3}{5} \right)\cdot\dfrac{15}{6}
\\\\=
\dfrac{-3(15)}{5(6)}
\\\\=
\dfrac{-\cancel{3}(\cancel{5}\cdot3)}{\cancel{5}(\cancel{3}\cdot2)}
\\\\=
\dfrac{-3}{2}
\\\\=
-\dfrac{3}{2}
.\end{array}