Answer
$\frac{5}{4}+ \frac{-3}{2}i$
Work Step by Step
Step 1: $\frac{6+5i}{4i}$
Step 2: $\frac{6+5i}{4i}\frac{i}{i}$
Step 3: $\frac{i(6+5i)}{4i^{2}}$
Step 4: As $i^{2}=-1$, we get $\frac{6i+5(-1)}{4(-1)}$.
Step 5: $\frac{6i-5}{-4}$
Step 6: $\frac{6i}{-4}+\frac{(-5)}{(-4)}$
Step 7: $\frac{5}{4}+ \frac{-3}{2}i$
