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