2) 5 : 1 \(\frac{1}{5}\) - (1 : 6 + 1 \(\frac{5}{9}\) · 2); (10 \(\frac{1}{5}\) - 0 : 4 \(\frac{6}{7}\) · 3 \(\frac{1}{2}\)) : (2 \(\frac{2}{5}\) + 3 \(\frac{3}{5}\)); 3 \(\frac{1}{2}\) : [1 \(\frac{3}{8}\) : 1 \(\frac{3}{8}\) · \(\frac{5}{8}\) + (5 \(\frac{2}{9}\) - 5 \(\frac{2}{9}\))]; (7 - 3 \(\frac{1}{9}\)) : \(\frac{5}{6}\) - [2 \(\frac{3}{16}\) : 1 - (\(\frac{11}{12}\) + 2 \(\frac{5}{6}\)) · \(\frac{1}{4}\)].

Решение:

Первое выражение:

\( 5 : 1\frac{1}{5} - (1 : 6 + 1\frac{5}{9} \cdot 2) = 5 : \frac{6}{5} - (\frac{1}{6} + \frac{14}{9} \cdot 2) = \frac{25}{6} - (\frac{1}{6} + \frac{28}{9}) = \frac{25}{6} - (\frac{3}{18} + \frac{56}{18}) = \frac{25}{6} - \frac{59}{18} = \frac{75}{18} - \frac{59}{18} = \frac{16}{18} = \frac{8}{9} \)

Второе выражение:

\( (10\frac{1}{5} - 0 : 4\frac{6}{7} \cdot 3\frac{1}{2}) : (2\frac{2}{5} + 3\frac{3}{5}) = (\frac{51}{5} - 0) : (\frac{12}{5} + \frac{18}{5}) = \frac{51}{5} : \frac{30}{5} = \frac{51}{5} \cdot \frac{5}{30} = \frac{51}{30} = \frac{17}{10} \)

Третье выражение:

\( 3\frac{1}{2} : [1\frac{3}{8} : 1\frac{3}{8} \cdot \frac{5}{8} + (5\frac{2}{9} - 5\frac{2}{9})] = \frac{7}{2} : [1 \cdot \frac{5}{8} + 0] = \frac{7}{2} : \frac{5}{8} = \frac{7}{2} \cdot \frac{8}{5} = \frac{56}{10} = \frac{28}{5} \)

Четвёртое выражение:

\( (7 - 3\frac{1}{9}) : \frac{5}{6} - [2\frac{3}{16} : 1 - (\frac{11}{12} + 2\frac{5}{6}) \cdot \frac{1}{4}] \)

\( = (7 - \frac{28}{9}) : \frac{5}{6} - [\frac{35}{16} - (\frac{11}{12} + \frac{17}{6}) \cdot \frac{1}{4}] \)

\( = (\frac{63}{9} - \frac{28}{9}) : \frac{5}{6} - [\frac{35}{16} - (\frac{11}{12} + \frac{34}{12}) \cdot \frac{1}{4}] \)

\( = \frac{35}{9} : \frac{5}{6} - [\frac{35}{16} - \frac{45}{12} \cdot \frac{1}{4}] \)

\( = \frac{35}{9} \cdot \frac{6}{5} - [\frac{35}{16} - \frac{15}{4} \cdot \frac{1}{4}] \)

\( = \frac{210}{45} - [\frac{35}{16} - \frac{15}{16}] \)

\( = \frac{14}{3} - [\frac{20}{16}] = \frac{14}{3} - \frac{5}{4} = \frac{56}{12} - \frac{15}{12} = \frac{41}{12} \)

Ответ: 8/9; 17/10; 28/5; 41/12