$$2\frac{5}{8} \div \frac{3}{4} + \frac{1}{2} = \frac{21}{8} \div \frac{3}{4} + \frac{1}{2} = \frac{21}{8} \cdot \frac{4}{3} + \frac{1}{2} = \frac{7}{2} + \frac{1}{2} = \frac{8}{2} = 4$$
Ответ: 4