Answer
$-\frac{4}{3}$
Work Step by Step
$\frac{-\frac{8}{9}}{\frac{2}{3}}=-\frac{8}{9}\times\frac{3}{2}=\frac{-8\times3}{9\times2}=\frac{-24}{18}=-\frac{24}{18}$
$-\frac{24}{18}=-\frac{24\div6}{18\div6}=-\frac{4}{3}$
The numbers being multiplied together have different signs, so the resulting product is negative.