-8/9 ÷ (-16/27)

1. Rewrite division as multiplication by the reciprocal: $$- \frac{8}{9} \times (-\frac{27}{16})$$

2. Multiply the fractions: $$\frac{8 \times 27}{9 \times 16}$$

3. Simplify: $$\frac{216}{144} = \frac{3}{2}$$