Answer
$\frac{7}{2}-\frac{4i}{2}$
Work Step by Step
$\frac{4+7i}{2i}$
=$\frac{4+7i}{2i}\times\frac{2i}{2i}$
=$\frac{2i(4+7i)}{2i\times2i}$
=$\frac{8i+14i^{2}}{4i^{2}}$
=$\frac{8i+14(-1)}{4(-1)}$
=$\frac{-14+8i}{-4}$
=$\frac{-7+4i}{-2}$
=$\frac{7-4i}{2}$
=$\frac{7}{2}-\frac{4i}{2}$