а) $2 * 1\frac{5}{12} + 4 * 1\frac{1}{8} + 1\frac{1}{9} * 1\frac{1}{4}$;
б) $70 : (\frac{5}{8} + \frac{5}{6}) + (3\frac{1}{9} - \frac{1}{3})$;
в) $(\frac{1}{6} + \frac{1}{10} + \frac{1}{15}) : (\frac{3}{5} - \frac{1}{3} - \frac{1}{4})$;
г) $(3 - 1\frac{5}{8}) * (4 - 1\frac{3}{11}) : (5 - 1\frac{1}{4})$.
$2 * 1\frac{5}{12} + 4 * 1\frac{1}{8} + 1\frac{1}{9} * 1\frac{1}{4} = 2 * \frac{17}{12} + 4 * \frac{9}{8} + \frac{10}{9} * \frac{5}{4} = \frac{17}{6} + \frac{9}{2} + \frac{5}{9} * \frac{5}{2} = 2\frac{5}{6} + 4\frac{1}{2} + \frac{25}{18} = 2\frac{15}{18} + 4\frac{9}{18} + 1\frac{7}{18} = 7\frac{31}{18} = 8\frac{13}{18}$
$70 : (\frac{5}{8} + \frac{5}{6}) + (3\frac{1}{9} - \frac{1}{3}) = 70 : (\frac{15}{24} + \frac{20}{24}) + (2\frac{10}{9} - \frac{3}{9}) = 70 : \frac{35}{24} + 2\frac{7}{9} = 70 * \frac{24}{35} + 2\frac{7}{9} = 2 * 24 + 2\frac{7}{9} = 48 + 2\frac{7}{9} = 50\frac{7}{9}$
$(\frac{1}{6} + \frac{1}{10} + \frac{1}{15}) : (\frac{3}{5} - \frac{1}{3} - \frac{1}{4}) = (\frac{5}{30} + \frac{3}{30} + \frac{2}{30}) : (\frac{36}{60} - \frac{20}{60} - \frac{15}{60}) = \frac{10}{30} : \frac{1}{60} = \frac{1}{3} * \frac{60}{1} = 20$
$(3 - 1\frac{5}{8}) * (4 - 1\frac{3}{11}) : (5 - 1\frac{1}{4}) = (2\frac{8}{8} - 1\frac{5}{8}) * (3\frac{11}{11} - 1\frac{3}{11}) : (4\frac{4}{4} - 1\frac{1}{4}) = 1\frac{3}{8} * 2\frac{8}{11} : 3\frac{3}{4} = \frac{11}{8} * \frac{30}{11} : \frac{15}{4} = \frac{11}{8} * \frac{30}{11} * \frac{4}{15} = \frac{1}{1} * \frac{1}{1} * \frac{1}{1} = 1$
Пожаулйста, оцените решение
