Вычислите:
а) $(\frac{5}{18} + \frac{1}{12}) * 6 - 2\frac{5}{7}$;
б) $(\frac{5}{14} - \frac{11}{21}) * 2 + 3$;
в) $\frac{5}{6} - (\frac{7}{15} - \frac{17}{20}) : 1\frac{1}{45}$;
г) $-\frac{5}{9} - 1\frac{43}{72} : (\frac{7}{24} + \frac{3}{16})$.
$(\frac{5}{18} + \frac{1}{12}) * 6 - 2\frac{5}{7} = (\frac{10}{36} + \frac{3}{36}) * 6 - 2\frac{5}{7} = \frac{13}{36} * 6 - 2\frac{5}{7} = \frac{13}{6} - 2\frac{5}{7} = 2\frac{1}{6} - 2\frac{5}{7} = 2\frac{7}{42} - 2\frac{30}{42} = -\frac{23}{42}$
$(\frac{5}{14} - \frac{11}{21}) * 2 + 3 = (\frac{15}{42} - \frac{22}{42}) * 2 + 3 = -\frac{7}{42} * 2 + 3 = -\frac{1}{6} * 2 + 3 = -\frac{1}{3} + 3 = 2\frac{2}{3}$
$\frac{5}{6} - (\frac{7}{15} - \frac{17}{20}) : 1\frac{1}{45} = \frac{5}{6} - (\frac{28}{60} - \frac{51}{60}) : \frac{46}{45} = \frac{5}{6} - (-\frac{23}{60}) * \frac{45}{46} = \frac{5}{6} - (-\frac{1}{4}) * \frac{3}{2} = \frac{5}{6} + \frac{3}{8} = \frac{20}{24} + \frac{9}{24} = \frac{29}{24} = 1\frac{5}{24}$
$-\frac{5}{9} - 1\frac{43}{72} : (\frac{7}{24} + \frac{3}{16}) = -\frac{5}{9} - \frac{115}{72} : (\frac{14}{48} + \frac{9}{48}) = -\frac{5}{9} - \frac{115}{72} : \frac{23}{48} = -\frac{5}{9} - \frac{115}{72} * \frac{48}{23} = -\frac{5}{9} - \frac{5}{3} * \frac{2}{1} = -\frac{5}{9} - \frac{10}{3} = -\frac{5}{9} - \frac{30}{9} = -\frac{35}{9} = -3\frac{8}{9}$
Пожауйста, оцените решение
