Д) $$(1\frac{1}{2} + 2\frac{2}{3} + 3\frac{3}{4}) * 3\frac{3}{5} : (14 - 15\frac{1}{8} : 2\frac{1}{5})$$

Решим пример по действиям.

1. Преобразуем смешанные дроби в неправильные:
   • $$1\frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}$$
   • $$2\frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}$$
   • $$3\frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}$$
   • $$3\frac{3}{5} = \frac{3 \times 5 + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5}$$
   • $$15\frac{1}{8} = \frac{15 \times 8 + 1}{8} = \frac{120 + 1}{8} = \frac{121}{8}$$
   • $$2\frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5}$$
2. $$\frac{3}{2} + \frac{8}{3} + \frac{15}{4} = \frac{3 \times 6}{2 \times 6} + \frac{8 \times 4}{3 \times 4} + \frac{15 \times 3}{4 \times 3} = \frac{18}{12} + \frac{32}{12} + \frac{45}{12} = \frac{18 + 32 + 45}{12} = \frac{95}{12}$$
3. $$\frac{95}{12} \times \frac{18}{5} = \frac{95 \times 18}{12 \times 5} = \frac{19 \times 3}{2} = \frac{57}{2}$$
4. $$\frac{121}{8} : \frac{11}{5} = \frac{121}{8} \times \frac{5}{11} = \frac{11 \times 5}{8} = \frac{55}{8}$$
5. $$14 - \frac{55}{8} = \frac{14 \times 8}{8} - \frac{55}{8} = \frac{112}{8} - \frac{55}{8} = \frac{112 - 55}{8} = \frac{57}{8}$$
6. $$\frac{57}{2} : \frac{57}{8} = \frac{57}{2} \times \frac{8}{57} = \frac{8}{2} = 4$$

Ответ: 4