Answer
$\dfrac{3}{4}\cdot\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{25}{24}$
Work Step by Step
$\dfrac{3}{4}\cdot\dfrac{1}{2}+\dfrac{2}{3}$
Evaluate the product and after that, the sum:
$\dfrac{3}{4}\cdot\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{3}{8}+\dfrac{2}{3}=\dfrac{(3)(3)+(2)(8)}{(8)(3)}=\dfrac{9+16}{24}=\dfrac{25}{24}$