Answer
$\displaystyle Midpoint(\frac{11}{20},\frac{-23}{12})$
Work Step by Step
To find the midpoint between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the midpoint formula:
$\displaystyle Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
We use the points $(3/5,-1/3)$ and $(1/2,-7/2)$:
$\displaystyle Midpoint=(\frac{3/5+1/2}{2},\frac{-1/3+-7/2}{2})$
$\displaystyle Midpoint=(\frac{6/10+5/10}{2},\frac{-2/6+-21/6}{2})$
$\displaystyle Midpoint=(\frac{11/10}{2},\frac{-23/6}{2})$
$\displaystyle Midpoint=(\frac{11}{20},\frac{-23}{12})$