Answer
$\left( -\dfrac{1}{20},-\dfrac{3}{16} \right)$
Work Step by Step
Using the Midpoint Formula, $\left( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \right)$, then the midpoint between the given points is
\begin{array}{l}
\left( \dfrac{0-\frac{1}{10}}{2},\dfrac{-\frac{3}{8}-0}{2} \right)
\\\\=
\left( \dfrac{-\frac{1}{10}}{2},\dfrac{-\frac{3}{8}}{2} \right)
\\\\=
\left( -\dfrac{1}{20},-\dfrac{3}{16} \right)
.\end{array}