Найдите значение выражения: $$\frac{36}{55} \cdot (3\frac{5}{14} - 3\frac{2}{21}) + 2\frac{3}{7} =$$

$$3\frac{5}{14} = \frac{3 \cdot 14 + 5}{14} = \frac{42 + 5}{14} = \frac{47}{14}$$ $$3\frac{2}{21} = \frac{3 \cdot 21 + 2}{21} = \frac{63 + 2}{21} = \frac{65}{21}$$ $$\frac{47}{14} - \frac{65}{21} = \frac{47 \cdot 3}{14 \cdot 3} - \frac{65 \cdot 2}{21 \cdot 2} = \frac{141}{42} - \frac{130}{42} = \frac{141 - 130}{42} = \frac{11}{42}$$ $$\frac{36}{55} \cdot \frac{11}{42} = \frac{36 \cdot 11}{55 \cdot 42} = \frac{4 \cdot 9 \cdot 11}{5 \cdot 11 \cdot 6 \cdot 7} = \frac{4 \cdot 9 \cdot 1}{5 \cdot 1 \cdot 6 \cdot 7} = \frac{36}{210} = \frac{6}{35}$$ $$2\frac{3}{7} = \frac{2 \cdot 7 + 3}{7} = \frac{14 + 3}{7} = \frac{17}{7}$$ $$\frac{6}{35} + \frac{17}{7} = \frac{6}{35} + \frac{17 \cdot 5}{7 \cdot 5} = \frac{6}{35} + \frac{85}{35} = \frac{6 + 85}{35} = \frac{91}{35} = \frac{13 \cdot 7}{5 \cdot 7} = \frac{13}{5}$$ $$\frac{13}{5} = 2\frac{3}{5}$$ Ответ: $$2\frac{3}{5}$$