#### Answer

$0-\frac{5}{9}i$

#### Work Step by Step

Multiply the numerator and denominator by the conjugate of the complex imaginary number.
$\frac{5}{9i}\times\frac{i}{i}$
Expand.
$\frac{5i}{9i^2}$
Remember that $i^2=-1$.
$\frac{5i}{-9}$
Simplify.
$0-\frac{5}{9}i$