Answer
$\left( -\dfrac{1}{2},-\dfrac{3}{10} \right)$
Work Step by Step
Using $\left( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \right)$ or the Midpoint Formula, then the midpoint of the line segment joing the given points, $
\left( -\dfrac{2}{3},-\dfrac{1}{5} \right) \text{ and }
\left( -\dfrac{1}{3},\dfrac{4}{5} \right)
,$ is
\begin{array}{l}\require{cancel}
\left( \dfrac{-\dfrac{2}{3}+\left(-\dfrac{1}{3}\right)}{2},\dfrac{-\dfrac{1}{5}+\dfrac{4}{5}}{2} \right)
\\\\=
\left( \dfrac{-\dfrac{2}{3}-\dfrac{1}{3}}{2},\dfrac{-\dfrac{1}{5}+\dfrac{4}{5}}{2} \right)
\\\\=
\left( \dfrac{-\dfrac{3}{3}}{2},\dfrac{-\dfrac{3}{5}}{2} \right)
\\\\=
\left( \dfrac{-1}{2},\dfrac{-3}{10} \right)
\\\\=
\left( -\dfrac{1}{2},-\dfrac{3}{10} \right)
.\end{array}
