Вычислите:
а) $4\frac{1}{6} * (1\frac{1}{2} - \frac{3}{5}) + (\frac{3}{4} + \frac{5}{6}) * 6$;
б) $(6 - 2\frac{4}{5}) * 3\frac{1}{8} - 1\frac{3}{5} : \frac{1}{4}$;
в) $24 - (3\frac{3}{5} - 1\frac{7}{9}) : (\frac{1}{2} - \frac{1}{3})$;
г) $4 * (2\frac{1}{2} + 1\frac{3}{4}) - (6\frac{2}{3} + 4\frac{4}{5}) : 2$.
$4\frac{1}{6} * (1\frac{1}{2} - \frac{3}{5}) + (\frac{3}{4} + \frac{5}{6}) * 6 = \frac{25}{6} * (\frac{3}{2} - \frac{3}{5}) + (\frac{9}{12} + \frac{10}{12}) * 6 = \frac{25}{6} * (\frac{15}{10} - \frac{6}{10}) + (\frac{9}{12} + \frac{10}{12}) * 6 = \frac{25}{6} * \frac{9}{10} + \frac{19}{12} * 6 = \frac{5}{2} * \frac{3}{2} + \frac{19}{2} * 1 = \frac{15}{4} + \frac{19}{2} = \frac{15}{4} + \frac{38}{4} = \frac{53}{4} = 13\frac{1}{4}$
$(6 - 2\frac{4}{5}) * 3\frac{1}{8} - 1\frac{3}{5} : \frac{1}{4} = 3\frac{1}{5} * \frac{25}{8} - \frac{8}{5} * \frac{4}{1} = \frac{16}{5} * \frac{25}{8} - \frac{32}{5} = \frac{2}{1} * \frac{5}{1} - 6\frac{2}{5} = 10 - 6\frac{2}{5} = 3\frac{3}{5}$
$24 - (3\frac{3}{5} - 1\frac{7}{9}) : (\frac{1}{2} - \frac{1}{3}) = 24 - (2\frac{8}{5} - 1\frac{7}{9}) : (\frac{3}{6} - \frac{2}{6}) = 24 - (2\frac{72}{45} - 1\frac{35}{45}) : \frac{1}{6} = 24 - 1\frac{37}{45} * 6 = 24 - \frac{82}{45} * 6 = 24 - \frac{82}{15} * 2 = 24 - \frac{164}{15} = 24 - 10\frac{14}{15} = 13\frac{1}{15}$
$4 * (2\frac{1}{2} + 1\frac{3}{4}) - (6\frac{2}{3} + 4\frac{4}{5}) : 2 = 4 * (2\frac{2}{4} + 1\frac{3}{4}) - (6\frac{10}{15} + 4\frac{12}{15}) : 2 = 4 * 3\frac{5}{4} - 10\frac{22}{15} : 2 = 4 * \frac{17}{4} - \frac{172}{15} * \frac{1}{2} = 17 - \frac{172}{30} = 17 - 5\frac{22}{30} = 17 - 5\frac{11}{15} = 11\frac{4}{15}$
Пожауйста, оцените решение
