Answer
$-\dfrac{7}{36}$
Work Step by Step
The given expression, $
\dfrac{-5}{12}\cdot\dfrac{7}{15}
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{-5(7)}{12(15)}
\\\\=
\dfrac{-\cancel{5}(7)}{12(\cancel{5}\cdot3)}
\\\\=
\dfrac{-7}{36}
\\\\=
-\dfrac{7}{36}
.\end{array}
