Вычислить: 6) $$5 - \frac{1}{7} \cdot \sqrt{1\frac{27}{169}}$$

6) $$5 - \frac{1}{7} \cdot \sqrt{1\frac{27}{169}} = 5 - \frac{1}{7} \cdot \sqrt{\frac{196}{169}} = 5 - \frac{1}{7} \cdot \frac{14}{13} = 5 - \frac{2}{13} = \frac{65 - 2}{13} = \frac{63}{13} = 4\frac{11}{13}$$

Ответ: $$4\frac{11}{13}$$