Тип 13 № 12884. Вычислите $$2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})+2\cdot1\frac{3}{7}$$.

Решение: $$2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})+2\cdot1\frac{3}{7}$$ = $$\frac{7}{3}:(\frac{15}{24}-\frac{64}{24})+2\cdot\frac{10}{7}$$ = $$\frac{7}{3}:(-\frac{49}{24})+\frac{20}{7}$$ = $$\frac{7}{3}\cdot(-\frac{24}{49})+\frac{20}{7}$$ = $$-\frac{7\cdot24}{3\cdot49}+\frac{20}{7}$$ = $$-\frac{1\cdot8}{1\cdot7}+\frac{20}{7}$$ = $$-\frac{8}{7}+\frac{20}{7}$$ = $$\frac{12}{7}$$ = $$1\frac{5}{7}$$ Ответ: $$1\frac{5}{7}$$