3. Вычислите: 1) |-5,71 + |-2,51 - |4,32|; 2) |\(\frac{5}{42}\)| : |1 - \(\frac{2}{3}\)|.

Решение:

1. \(|-5.71 + |-2.51 - 4.32|\) = \(|-5.71 + |-6.83|\) = \(|-5.71 + 6.83| = |1.12| = 1.12\)
2. \(|\frac{5}{42}| : |1 - \frac{2}{3}| = \frac{5}{42} : |\frac{3}{3} - \frac{2}{3}| = \frac{5}{42} : |\frac{1}{3}| = \frac{5}{42} : \frac{1}{3} = \frac{5}{42} \times \frac{3}{1} = \frac{15}{42} = \frac{5}{14}\)

Ответ: 1) 1.12; 2) \(\frac{5}{14}\)