Answer
$$\left(-\frac{1}{12},\:\frac{1}{24}\right)$$
Work Step by Step
Using the midpoint formula, we find:
$$ \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right) \\ \left(\frac{-\frac{1}{3}+\frac{1}{6}}{2},\:\frac{\frac{5}{6}-\frac{3}{4}}{2}\right)\\ \left(-\frac{1}{12},\:\frac{1}{24}\right)$$