Answer
$-\frac{1}{6}$
Work Step by Step
$-\frac{4}{9}\div\frac{8}{3}$
=$-\frac{4}{9}\times\frac{3}{8}$ Convert division into multiplication
=$-\frac{1}{3}\times\frac{1}{2}$ Cancel common multiples
=$-\frac{1}{6}$ Multiply Fractions together