2. Выполните действия: ($$\frac{27}{34}$$-2$$\frac{4}{5}$$)$$\cdot$$ 5$$\frac{1}{9}$$

Решение:

1) 2$$\frac{4}{5}$$ = $$\frac{14}{5}$$

2) $$\frac{27}{34}$$-$$\frac{14}{5}$$ = $$\frac{27 \cdot 5 - 14 \cdot 34}{34 \cdot 5}$$ = $$\frac{135 - 476}{170}$$ = -$$\frac{341}{170}$$

3) 5$$\frac{1}{9}$$ = $$\frac{46}{9}$$

4) -$$\frac{341}{170}$$\cdot$$\frac{46}{9}$$ = -$$\frac{341 \cdot 46}{170 \cdot 9}$$ = -$$\frac{341 \cdot 23}{85 \cdot 9}$$ = -$$\frac{7843}{765}$$ = -10$$\frac{183}{765}$$ = -10$$\frac{61}{255}$$

Ответ: -10$$\frac{61}{255}$$