a) $$\frac{38}{13} - \frac{5}{13} + \left(1\frac{5}{39} - \frac{1}{13}\right) = \frac{38}{13} - \frac{5}{13} + 1\frac{5}{39} - \frac{1}{13} = \frac{38}{13} - \frac{5}{13} + \frac{44}{39} - \frac{1}{13} = \frac{38 \cdot 3 - 5 \cdot 3 + 44 - 1 \cdot 3}{39} = \frac{114 - 15 + 44 - 3}{39} = \frac{140}{39} = 3\frac{23}{39}$$
Ответ: $$3\frac{23}{39}$$