#### Answer

$\frac{7}{5}-\frac{4}{5}i$

#### Work Step by Step

$\frac{4+7i}{5i}$
=$\frac{4+7i}{5i}\times\frac{5i}{5i}$
=$\frac{(4+7i)\times5i}{5i\times5i}$
=$\frac{20i+35i^{2}}{25i^{2}}$
=$\frac{20i+35(-1)}{25(-1)}$
=$\frac{20i-35}{-25}$
=$\frac{5(4i-7)}{-25}$
=$\frac{(4i-7)}{-5}$
=$\frac{(7-4i)}{5}$
=$\frac{7}{5}-\frac{4}{5}i$