\[\frac{5}{6} + \frac{7}{12} \cdot \frac{7}{2} = \frac{5}{6} + \frac{49}{24} = \frac{5 \cdot 4}{6 \cdot 4} + \frac{49}{24} = \frac{20}{24} + \frac{49}{24} = \frac{69}{24} = \frac{23}{8} = 2\frac{7}{8}\]
Ответ: 2\frac{7}{8}