Найдите значение выражения $$\left(2\frac{3}{4}+2\frac{1}{5}\right) \cdot 16$$.

$$\left(2\frac{3}{4}+2\frac{1}{5}\right) \cdot 16 = \left(\frac{2 \cdot 4 + 3}{4}+\frac{2 \cdot 5 + 1}{5}\right) \cdot 16 = \left(\frac{8 + 3}{4}+\frac{10 + 1}{5}\right) \cdot 16 = \left(\frac{11}{4}+\frac{11}{5}\right) \cdot 16 = \left(\frac{11 \cdot 5}{4 \cdot 5}+\frac{11 \cdot 4}{5 \cdot 4}\right) \cdot 16 = \left(\frac{55}{20}+\frac{44}{20}\right) \cdot 16 = \frac{55+44}{20} \cdot 16 = \frac{99}{20} \cdot 16 = \frac{99}{5 \cdot 4} \cdot 4 \cdot 4 = \frac{99}{5} \cdot 4 = \frac{396}{5} = 79 \frac{1}{5}$$