$$\left(7\frac{1}{3} : 1\frac{2}{9} - 0,5\right) \cdot \frac{2}{5} = \left(\frac{22}{3} : \frac{11}{9} - \frac{1}{2}\right) \cdot \frac{2}{5} = \left(\frac{22}{3} \cdot \frac{9}{11} - \frac{1}{2}\right) \cdot \frac{2}{5} = \left(\frac{2 \cdot 3}{1 \cdot 1} - \frac{1}{2}\right) \cdot \frac{2}{5} = \left(6 - \frac{1}{2}\right) \cdot \frac{2}{5} = \left(\frac{12}{2} - \frac{1}{2}\right) \cdot \frac{2}{5} = \frac{11}{2} \cdot \frac{2}{5} = \frac{11 \cdot 1}{1 \cdot 5} = \frac{11}{5} = 2,2$$
Ответ: 2,2