5. Выполните действия: $$13\frac{5}{14}-8\frac{5}{6}+3\frac{2}{3}$$

Решение: $$13\frac{5}{14}-8\frac{5}{6}+3\frac{2}{3} = (13 - 8 + 3) + (\frac{5}{14} - \frac{5}{6} + \frac{2}{3}) = 8 + (\frac{15}{42} - \frac{35}{42} + \frac{28}{42}) = 8 + \frac{15 - 35 + 28}{42} = 8 + \frac{8}{42} = 8 + \frac{4}{21} = 8\frac{4}{21}$$ Ответ: $$8\frac{4}{21}$$