2.379 Найдите значение выражения: a) $$(2\frac{1}{4} + 1\frac{5}{6}) \cdot (4 - 3\frac{38}{49})$$;

a) $$(2\frac{1}{4} + 1\frac{5}{6}) \cdot (4 - 3\frac{38}{49})$$ = $$(\frac{9}{4} + \frac{11}{6}) \cdot (\frac{4}{1} - \frac{185}{49})$$ = $$(\frac{9 \cdot 3}{4 \cdot 3} + \frac{11 \cdot 2}{6 \cdot 2}) \cdot (\frac{4 \cdot 49}{1 \cdot 49} - \frac{185}{49})$$ = $$(\frac{27}{12} + \frac{22}{12}) \cdot (\frac{196}{49} - \frac{185}{49})$$ = $$\frac{49}{12} \cdot \frac{11}{49}$$ = $$\frac{1}{12} \cdot \frac{11}{1}$$ = $$\frac{11}{12}$$

Ответ: $$\frac{11}{12}$$