Вопрос:

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

Ответ:

1)

\[3\frac{2}{5}\cdot2=\frac{34}{5},\qquad 5\frac{3}{4}:1\frac{11}{12}=\frac{23}{4}:\frac{23}{12}=3.\]

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

\[4\frac{4}{5}:9=\frac{24}{5}:9=\frac{8}{15}.\]

\[\frac{6}{5}-\frac{8}{15}+2\frac{2}{3}=\frac{18}{15}-\frac{8}{15}+\frac{40}{15}=\frac{50}{15}=\frac{10}{3}.\]

2)

\[4.25\cdot7.08=30.09,\qquad 6.768:0.75=9.024.\]

\[40-(30.09+9.024)=40-39.114=0.886.\]

\[0.886\cdot2050=1816.3.\]

Ответ: 1) \(\frac{10}{3}\); 2) 1816,3.