3 Найдите значение выражения: 3 5/6 · (5 2/3 – 3 11/12) + 4 · 1 1/2.

$$3\frac{5}{6} \cdot (5\frac{2}{3} - 3\frac{11}{12}) + 4 \cdot 1\frac{1}{2} = \frac{3 \cdot 6 + 5}{6} \cdot (\frac{5 \cdot 3 + 2}{3} - \frac{3 \cdot 12 + 11}{12}) + 4 \cdot \frac{1 \cdot 2 + 1}{2} = \frac{18 + 5}{6} \cdot (\frac{15 + 2}{3} - \frac{36 + 11}{12}) + 4 \cdot \frac{2 + 1}{2} = \frac{23}{6} \cdot (\frac{17}{3} - \frac{47}{12}) + 4 \cdot \frac{3}{2} = \frac{23}{6} \cdot (\frac{17 \cdot 4}{3 \cdot 4} - \frac{47}{12}) + \frac{4 \cdot 3}{2} = \frac{23}{6} \cdot (\frac{68}{12} - \frac{47}{12}) + \frac{12}{2} = \frac{23}{6} \cdot \frac{21}{12} + 6 = \frac{23}{6} \cdot \frac{7}{4} + 6 = \frac{23 \cdot 7}{6 \cdot 4} + 6 = \frac{161}{24} + 6 = 6\frac{17}{24} + 6 = 12\frac{17}{24}$$

Ответ: $$12\frac{17}{24}$$