Вопрос:

14: 4,05 - \(-2\frac{1}{2}\)\(\cdot\)\(1\frac{2}{3} : 2,5 - 3\)

Ответ:

Решение:

  1. \( -2\frac{1}{2} = -2.5 \)
  2. \( 1\frac{2}{3} = \frac{5}{3} \)
  3. \( \frac{5}{3} : 2.5 = \frac{5}{3} : \frac{5}{2} = \frac{5}{3} \cdot \frac{2}{5} = \frac{2}{3} \)
  4. \( \frac{2}{3} - 3 = \frac{2 - 9}{3} = -\frac{7}{3} \)
  5. \( -2.5 \cdot (-\frac{7}{3}) = \frac{5}{2} \cdot \frac{7}{3} = \frac{35}{6} \)
  6. \( 4.05 + \frac{35}{6} = \frac{405}{100} + \frac{35}{6} = \frac{81}{20} + \frac{35}{6} = \frac{243 + 350}{60} = \frac{593}{60} \)

Ответ: \(\frac{593}{60}\)