7/15 ÷ (-14/45)

1. Rewrite division as multiplication by the reciprocal: $$\frac{7}{15} \times (-\frac{45}{14})$$

2. Multiply the fractions: $$- \frac{7 \times 45}{15 \times 14}$$

3. Simplify: $$- \frac{315}{210} = -\frac{3}{2}$$