2) Вычислите (3$$\frac{3}{4} \cdot \frac{8}{5} - 7\frac{1}{2} : 27 + 1\frac{1}{2}): (3\frac{1}{6} - 1\frac{1}{4}).

Выполним вычисление по действиям:

1. $$3\frac{3}{4} \cdot \frac{8}{5} = \frac{15}{4} \cdot \frac{8}{5} = \frac{15 \cdot 8}{4 \cdot 5} = \frac{3 \cdot 2}{1 \cdot 1} = 6$$
2. $$7\frac{1}{2} : 27 + 1\frac{1}{2} = \frac{15}{2} : \frac{28}{9} = \frac{15}{2} \cdot \frac{9}{28} = \frac{15 \cdot 9}{2 \cdot 28} = \frac{135}{56}$$
3. $$6 - \frac{135}{56} = \frac{6 \cdot 56}{56} - \frac{135}{56} = \frac{336 - 135}{56} = \frac{201}{56}$$
4. $$3\frac{1}{6} - 1\frac{1}{4} = \frac{19}{6} - \frac{5}{4} = \frac{19 \cdot 2}{12} - \frac{5 \cdot 3}{12} = \frac{38 - 15}{12} = \frac{23}{12}$$
5. $$\frac{201}{56} : \frac{23}{12} = \frac{201}{56} \cdot \frac{12}{23} = \frac{201 \cdot 12}{56 \cdot 23} = \frac{3 \cdot 67 \cdot 3 \cdot 4}{14 \cdot 4 \cdot 23} = \frac{3 \cdot 67 \cdot 3}{14 \cdot 23} = \frac{603}{322}$$

Ответ: $$\frac{603}{322}$$