Answer
-1
Work Step by Step
$-\frac{4}{9} \div \frac{4}{9} = -\frac{4}{9} \times \frac{9}{4}$ = -1
$\frac{4}{9}$ and $\frac{9}{4}$ are reciprocals of each other, so their product equals 1. Since they have different signs however, their product is negative.