Answer
$-12$
Work Step by Step
The given expression, $
\dfrac{9}{5}\cdot\dfrac{-20}{3}
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{9(-20)}{5(3)}
\\\\=
\dfrac{\cancel{3}\cdot3\cdot\cancel{5}\cdot(-4)}{\cancel{5}(\cancel{3})}
\\\\=
3(-4)
\\\\=
-12
.\end{array}