$$8 \frac{9}{2} - \frac{5}{2} : \frac{3}{20} = \frac{25}{2} - \frac{5}{2} \times \frac{20}{3} = \frac{25}{2} - \frac{5 \times 10}{3} = \frac{25}{2} - \frac{50}{3} = \frac{25 \times 3 - 50 \times 2}{6} = \frac{75 - 100}{6} = \frac{-25}{6} = -4 \frac{1}{6}$$
Ответ: $$-4 \frac{1}{6}$$