2.381 Найдите значение выражения: a) $$4\frac{3}{5}n + m$$ при $$n = 1\frac{4}{23}$$, $$m = 6\frac{13}{30}$$

a) $$4\frac{3}{5}n + m$$ при $$n = 1\frac{4}{23}$$, $$m = 6\frac{13}{30}$$

$$4\frac{3}{5} \cdot 1\frac{4}{23} + 6\frac{13}{30} = \frac{23}{5} \cdot \frac{27}{23} + \frac{193}{30} = \frac{1}{5} \cdot \frac{27}{1} + \frac{193}{30} = \frac{27}{5} + \frac{193}{30} = \frac{27 \cdot 6}{5 \cdot 6} + \frac{193}{30} = \frac{162}{30} + \frac{193}{30} = \frac{355}{30} = \frac{71}{6} = 11\frac{5}{6}$$

Ответ: $$11\frac{5}{6}$$