Вопрос:

в) 5,5 - 3\(\frac{3}{4}\) (\(1\frac{2}{3} + 1\frac{2}{5}\)) : 2\(\frac{5}{9}\);

Ответ:

Решение:

  1. \(3\frac{3}{4} = \frac{15}{4}\)
  2. \(1\frac{2}{3} = \frac{5}{3}\)
  3. \(1\frac{2}{5} = \frac{7}{5}\)
  4. \(\frac{5}{3} + \frac{7}{5} = \frac{25+21}{15} = \frac{46}{15}\)
  5. \(\frac{15}{4} \frac{46}{15} = \frac{15 46}{4 15} = \frac{46}{4} = \frac{23}{2} = 11,5\)
  6. \(2\frac{5}{9} = \frac{23}{9}\)
  7. \(11,5 : \frac{23}{9} = \frac{23}{2} : \frac{23}{9} = \frac{23}{2} \frac{9}{23} = \frac{9}{2} = 4,5\)
  8. \(5,5 - 4,5 = 1\)

Ответ: 1