$$\frac{5}{8} + \frac{5}{6} = \frac{5 \cdot 3}{8 \cdot 3} + \frac{5 \cdot 4}{6 \cdot 4} = \frac{15}{24} + \frac{20}{24} = \frac{35}{24}$$
Ответ: $$\frac{35}{24}$$