Вопрос:

Задание №2 (вычислите): 1) ((3 2/5 · 2 − 5 3/4 : 1 11/12) : 3 1/6 − 1 4/5 : 9 + 2 2/3); 2) |(40 − (4,25 · 7,08 + 6,768 : 0,75))| · 2050.

Ответ:

1)

  1. \(3\frac{2}{5}\cdot2=\frac{34}{5}\), а \(5\frac{3}{4}:1\frac{11}{12}=\frac{23}{4}:\frac{23}{12}=3\).
  2. \(\left(\frac{34}{5}-3\right):3\frac{1}{6}=\frac{19}{5}:\frac{19}{6}=\frac{6}{5}\).
  3. \(1\frac{4}{5}:9=\frac{9}{5}:9=\frac{1}{5}\).
  4. \(\frac{6}{5}-\frac{1}{5}+2\frac{2}{3}=1+\frac{8}{3}=\frac{11}{3}\).

2)

  1. \(4,25\cdot7,08=30,09\).
  2. \(6,768:0,75=9,024\).
  3. \(|40-(30,09+9,024)|=|40-39,114|=0,886\).
  4. \(0,886\cdot2050=1816,3\).

Ответ: 1) \(\frac{11}{3}\); 2) 1816,3.