Вычислите:
а) $(4\frac{1}{4} - 6\frac{1}{2}) : 2\frac{4}{9}$;
б) $(2\frac{1}{5} + \frac{14}{15}) * (-2\frac{1}{2})$;
в) $(3\frac{5}{9} - 4\frac{2}{3}) : (-2\frac{7}{9})$;
г) $(-1\frac{5}{8} - 2\frac{3}{4}) * (-4\frac{2}{7})$.
$(4\frac{1}{4} - 6\frac{1}{2}) : 2\frac{4}{9} = (4\frac{1}{4} - 6\frac{2}{4}) : \frac{22}{9} = -2\frac{1}{4} * \frac{9}{22} = -\frac{9}{4} * \frac{9}{22} = -\frac{81}{88}$
$(2\frac{1}{5} + \frac{14}{15}) * (-2\frac{1}{2}) = (2\frac{3}{15} + \frac{14}{15}) * (-2\frac{1}{2}) = 2\frac{17}{15} * (-\frac{5}{2}) = \frac{47}{15} * (-\frac{5}{2}) = \frac{47}{3} * (-\frac{1}{2}) = -\frac{47}{6} = -7\frac{5}{6}$
$(3\frac{5}{9} - 4\frac{2}{3}) : (-2\frac{7}{9}) = (3\frac{5}{9} - 4\frac{6}{9}) : (-\frac{25}{9}) = -1\frac{1}{9} : (-\frac{25}{9}) = \frac{10}{9} * \frac{9}{25} = \frac{2}{1} * \frac{1}{5} = \frac{2}{5}$
$(-1\frac{5}{8} - 2\frac{3}{4}) * (-4\frac{2}{7}) = (-1\frac{5}{8} - 2\frac{6}{8}) * (-4\frac{2}{7}) = -3\frac{11}{8} * (-4\frac{2}{7}) = \frac{35}{8} * \frac{30}{7} = \frac{5}{4} * \frac{15}{1} = \frac{75}{4} = 18\frac{3}{4}$
Пожауйста, оцените решение
