Answer
$\dfrac{7}{6}+i \dfrac{7}{6}$
Work Step by Step
We compute the total sum of complex numbers by combining the real and imaginary terms , then we add the functions by using the least common denominator (LCD) as follows:
$(\dfrac{1}{2}+i \ \dfrac{2}{3} ) +(\dfrac{2}{3}+i \ \dfrac{1}{2} )=(\dfrac{1}{2}+ \ \dfrac{2}{3} ) +\ i \ (\dfrac{2}{3}+i \ \dfrac{1}{2} )$
or, $=(\dfrac{3}{6}+ \dfrac{4}{6})+(\dfrac{4}{6}+i \dfrac{3}{6})$
or, $=\dfrac{7}{6}+i \dfrac{7}{6}$
