Answer
$\left(-\dfrac{1}{2}, \dfrac{1}{2}\right)$
Work Step by Step
The midpoint of the two points $(x_1,y_1)$ and $(x_2,y_2)$ is the point $\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$ $\left(\dfrac{\dfrac{1}{2}-\dfrac{3}{2}}{2},\dfrac{\dfrac{3}{8}+\dfrac{5}{8}}{2}\right) = \left(-\dfrac{1}{2}, \dfrac{1}{2}\right)$