Вычислите:
а) $(\frac{13}{17} * \frac{8}{9} - \frac{4}{17} * \frac{8}{9}) * (\frac{11}{16} + \frac{3}{8})$;
б) $(\frac{3}{4} - \frac{15}{16}) * (1 - 3\frac{2}{7})$;
в) $(1\frac{5}{12} - 2\frac{1}{8}) : (1\frac{1}{2} + \frac{23}{30})$;
г) $(2\frac{2}{15} - 3\frac{3}{5}) : (\frac{14}{15} + \frac{2}{45})$.
$(\frac{13}{17} * \frac{8}{9} - \frac{4}{17} * \frac{8}{9}) * (\frac{11}{16} + \frac{3}{8}) = (\frac{8}{9} * (\frac{13}{17} - \frac{4}{17})) * (\frac{11}{16} + \frac{6}{16}) = (\frac{8}{9} * \frac{9}{17}) * \frac{17}{16} = \frac{8}{17} * \frac{17}{16} = \frac{1}{1} * \frac{1}{2} = \frac{1}{2}$
$(\frac{3}{4} - \frac{15}{16}) * (1 - 3\frac{2}{7}) = (\frac{12}{16} - \frac{15}{16}) * (-2\frac{2}{7}) = -\frac{3}{16} * (-\frac{16}{7}) = \frac{3}{7}$
$(1\frac{5}{12} - 2\frac{1}{8}) : (1\frac{1}{2} + \frac{23}{30}) = (1\frac{10}{24} - 2\frac{3}{24}) : (1\frac{15}{30} + \frac{23}{30}) = (1\frac{10}{24} - 1\frac{27}{24}) : 1\frac{38}{30} = -\frac{17}{24} : \frac{68}{30} = -\frac{17}{24} * \frac{30}{68} = -\frac{1}{4} * \frac{5}{4} = -\frac{5}{16}$
$(2\frac{2}{15} - 3\frac{3}{5}) : (\frac{14}{15} + \frac{2}{45}) = (2\frac{2}{15} - 3\frac{9}{15}) : (\frac{42}{45} + \frac{2}{45}) = -1\frac{7}{15} : \frac{44}{45} = -\frac{22}{15} * \frac{45}{44} = -\frac{1}{1} * \frac{3}{2} = -1\frac{1}{2}$
Пожауйста, оцените решение
