2. Выполните действия a) \(1\frac{5}{19} : (6-3\frac{5}{8})\) б) \((6,3:1,4-2,05):1,8\)

Решение:

1. \(1\frac{5}{19} : (6-3\frac{5}{8}) = \frac{24}{19} : (6 - \frac{29}{8}) = \frac{24}{19} : (\frac{48-29}{8}) = \frac{24}{19} : \frac{19}{8} = \frac{24}{19} \cdot \frac{8}{19} = \frac{192}{361}\)
2. \((6,3:1,4-2,05):1,8 = (\frac{63}{14} - 2.05):1.8 = (4.5 - 2.05):1.8 = 2.45:1.8 = \frac{245}{180} = \frac{49}{36}\)

Ответ: а) \(\frac{192}{361}\), б) \(\frac{49}{36}\).