Answer
$(\frac{8}{35}-\frac{13}{28}i)$
Work Step by Step
Adding the real parts together and the imaginary parts together,
Step 1: $(-\frac{1}{5}+\frac{2}{7}i)+(\frac{3}{7}-\frac{3}{4}i)$
Step 2: $(-\frac{1}{5}+\frac{3}{7})+(\frac{2}{7}i-\frac{3}{4}i)$
Step 3: $(\frac{-7+15}{35})+(\frac{8i-21i}{28})$
Step 4: $(\frac{8}{35}-\frac{13}{28}i)$