Вопрос:

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

Ответ:

  1. \[\left(3\frac{2}{5}\cdot2-5\frac{3}{4}:1\frac{11}{12}\right):3\frac{1}{6}-1\frac{4}{5}:9+2\frac{2}{5}\]

    \[=\left(\frac{17}{5}\cdot2-\frac{23}{4}:\frac{23}{12}\right):\frac{19}{6}-\frac{9}{5}:9+\frac{12}{5}\]

    \[=\left(\frac{34}{5}-3\right):\frac{19}{6}-\frac{1}{5}+\frac{12}{5}=\frac{19}{5}\cdot\frac{6}{19}-\frac{1}{5}+\frac{12}{5}=\frac{17}{5}.\]

  2. \[(40-(4.25\cdot7.08+6.768:0.75))\cdot2050\]

    \[=(40-(30.09+9.024))\cdot2050=0.886\cdot2050=1816.3.\]

Ответ: 1) \(\frac{17}{5}=3\frac{2}{5}\); 2) 1816,3.