Answer
$-\dfrac{14}{15}$
Work Step by Step
Using the $LCD=
15
$, the given expression, $
\dfrac{-4}{15}+\dfrac{2}{-3}
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{1(-4)+(-5)(2)}{15}
\\\\=
\dfrac{-4-10}{15}
\\\\=
\dfrac{-14}{15}
\\\\=
-\dfrac{14}{15}
.\end{array}