$$4 \frac{1}{6} \div \frac{5}{2} + \frac{1}{3} = \frac{25}{6} \div \frac{5}{2} + \frac{1}{3} = \frac{25}{6} \cdot \frac{2}{5} + \frac{1}{3} = \frac{5}{3} + \frac{1}{3} = \frac{6}{3} = 2$$
Ответ: 2