-6/11 ÷ 3/22

1. Rewrite division as multiplication by the reciprocal: $$- \frac{6}{11} \times \frac{22}{3}$$

2. Multiply the fractions: $$- \frac{6 \times 22}{11 \times 3}$$

3. Simplify: $$- \frac{132}{33} = -4$$