Вычислите: $$2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})+2\cdot 1\frac{3}{7}$$.

$$2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})+2\cdot 1\frac{3}{7} = \frac{7}{3}:(\frac{15}{24}-\frac{64}{24})+2\cdot \frac{10}{7} = \frac{7}{3}:(-\frac{49}{24})+\frac{20}{7} = \frac{7}{3} \cdot (-\frac{24}{49})+\frac{20}{7} =$$

$$=-\frac{1}{1} \cdot \frac{8}{7} + \frac{20}{7} = -\frac{8}{7} + \frac{20}{7} = \frac{12}{7} = 1\frac{5}{7}$$.

Ответ: $$1\frac{5}{7}$$.