Г) $$2\frac{3}{5} : 6\frac{1}{15} + 1\frac{1}{14} - 1\frac{39}{73} * (5\frac{5}{7} - 5\frac{1}{16})$$

Решим пример по действиям.

1. Преобразуем смешанные дроби в неправильные:
   • $$2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}$$
   • $$6\frac{1}{15} = \frac{6 \times 15 + 1}{15} = \frac{90 + 1}{15} = \frac{91}{15}$$
   • $$1\frac{1}{14} = \frac{1 \times 14 + 1}{14} = \frac{14 + 1}{14} = \frac{15}{14}$$
   • $$1\frac{39}{73} = \frac{1 \times 73 + 39}{73} = \frac{73 + 39}{73} = \frac{112}{73}$$
   • $$5\frac{5}{7} = \frac{5 \times 7 + 5}{7} = \frac{35 + 5}{7} = \frac{40}{7}$$
   • $$5\frac{1}{16} = \frac{5 \times 16 + 1}{16} = \frac{80 + 1}{16} = \frac{81}{16}$$
2. $$\frac{13}{5} : \frac{91}{15} = \frac{13}{5} \times \frac{15}{91} = \frac{13 \times 15}{5 \times 91} = \frac{13 \times 3}{91} = \frac{3}{7}$$
3. $$\frac{40}{7} - \frac{81}{16} = \frac{40 \times 16}{7 \times 16} - \frac{81 \times 7}{16 \times 7} = \frac{640}{112} - \frac{567}{112} = \frac{640 - 567}{112} = \frac{73}{112}$$
4. $$\frac{112}{73} \times \frac{73}{112} = 1$$
5. $$\frac{3}{7} + \frac{15}{14} - 1 = \frac{3 \times 2}{7 \times 2} + \frac{15}{14} - \frac{14}{14} = \frac{6}{14} + \frac{15}{14} - \frac{14}{14} = \frac{6 + 15 - 14}{14} = \frac{7}{14} = \frac{1}{2}$$

Ответ: $$\frac{1}{2}$$