$$4 \frac{5}{13} - 2 \frac{2}{13} = (4 - 2) + (\frac{5}{13} - \frac{2}{13})$$
$$ = 2 + \frac{5-2}{13} = 2 + \frac{3}{13} = 2 \frac{3}{13}$$
Ответ: $$2 \frac{3}{13}$$