Answer
$-\frac{5}{2}$
Work Step by Step
$\frac{4}{9}$ $\div$ $-\frac{8}{45}$
keep, switch, flip - change from division to multiplication
$\frac{4}{9}$ $\times$ $-\frac{45}{8}$
Multiply the fractions:
$-\frac{180}{72}$
Simplify:
$-\frac{5}{2}$