Answer
$-\dfrac{2}{7}$
Work Step by Step
The given expression, $
\dfrac{2}{3}\cdot\left( -\dfrac{3}{7} \right)
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{2(-3)}{3(7)}
\\\\=
\dfrac{2(-\cancel{3})}{\cancel{3}(7)}
\\\\=
\dfrac{-2}{7}
\\\\=
-\dfrac{2}{7}
.\end{array}
