Answer
$\frac{8}{3}-\frac{5}{3}i$
Work Step by Step
$\frac{5+8i}{3i}$
=$\frac{5+8i}{3i}\times\frac{3i}{3i}$
=$\frac{3i(5+8i)}{3i\times3i}$
=$\frac{15i+24i^{2}}{9i^{2}}$
=$\frac{15i+24(-1)}{9(-1)}$
=$\frac{-24+15i}{-9}$
=$\frac{-8+5i}{-3}$
=$\frac{8-5i}{3}$
=$\frac{8}{3}-\frac{5}{3}i$
