3. Выполните действия: $$(8-2\frac{11}{12} \cdot \frac{7}{16}):\frac{2}{27}$$.

1) $$2\frac{11}{12} \cdot \frac{7}{16} = \frac{35}{12} \cdot \frac{7}{16} = \frac{35 \cdot 7}{12 \cdot 16} = \frac{245}{192}$$

2) $$8 - \frac{245}{192} = \frac{8 \cdot 192 - 245}{192} = \frac{1536 - 245}{192} = \frac{1291}{192}$$

3) $$\frac{1291}{192}:\frac{2}{27} = \frac{1291}{192} \cdot \frac{27}{2} = \frac{1291 \cdot 27}{192 \cdot 2} = \frac{1291 \cdot 27}{384} = \frac{34857}{384} = 90\frac{217}{384}$$

Ответ: $$90\frac{217}{384}$$