#### Answer

$\displaystyle (1,1)$

#### 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 $(\frac{1}{2},\frac{1}{3})$ and $(\frac{3}{2},\frac{5}{3})$:
$\displaystyle Midpoint=(\frac{1/2+3/2}{2},\frac{1/3+5/3}{2})$
$\displaystyle =(\frac{4/2}{2},\frac{6/3}{2})$
$\displaystyle =(\frac{2}{2},\frac{2}{2})$
$\displaystyle =(1,1)$