2.174 Найдите сумму: a) \(\frac{1}{6}+\frac{3}{16}+\frac{5}{6}+\frac{5}{16}\);

Найдем сумму:

$$ \frac{1}{6}+\frac{3}{16}+\frac{5}{6}+\frac{5}{16} = (\frac{1}{6} + \frac{5}{6}) + (\frac{3}{16} + \frac{5}{16}) $$

$$ = \frac{1 + 5}{6} + \frac{3 + 5}{16} = \frac{6}{6} + \frac{8}{16} = 1 + \frac{1}{2} = 1\frac{1}{2} = 1,5 $$

Ответ: 1,5