#### Answer

$\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}=\dfrac{13}{24}$

#### Work Step by Step

In order to find the average of two numbers, we need to find their sum and divide it by $2$. This can be shown in the following expression:
$\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}$
Evaluate the sum in the numerator:
$\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}=\dfrac{\dfrac{4+9}{12}}{2}=\dfrac{\dfrac{13}{12}}{2}=...$
Finally, evaluate the division and simplify if possible. The resulting number is the average of $\dfrac{1}{3}$ and $\dfrac{3}{4}$:
$...=\dfrac{13}{12}\div2=\dfrac{13}{24}$