Найдите значение выражения:
а) $\frac{1}{4} * 4\frac{3}{4} * \frac{16}{57} + (4\frac{3}{4} + 1\frac{2}{3}) * \frac{16}{21} + \frac{2}{27} * 4\frac{1}{2}$;
б) $(\frac{4}{5} + \frac{1}{6}) * (23\frac{2}{3} - 15\frac{5}{9}) * \frac{45}{58} - \frac{1}{2}$.
$\frac{1}{4} * 4\frac{3}{4} * \frac{16}{57} + (4\frac{3}{4} + 1\frac{2}{3}) * \frac{16}{21} + \frac{2}{27} * 4\frac{1}{2} = \frac{1}{4} * \frac{19}{4} * \frac{16}{57} + (4\frac{9}{12} + 1\frac{8}{12}) * \frac{16}{21} + \frac{2}{27} * \frac{9}{2} = \frac{1}{1} * \frac{1}{1} * \frac{1}{3} + 6\frac{5}{12} * \frac{16}{21} + \frac{1}{3} * \frac{1}{1} = \frac{1}{3} + \frac{77}{12} * \frac{16}{21} + \frac{1}{3} = \frac{1}{3} + \frac{11}{3} * \frac{4}{3} + \frac{1}{3} = \frac{1}{3} + \frac{44}{9} + \frac{1}{3} = \frac{3}{9} + \frac{44}{9} + \frac{3}{9} = \frac{50}{9} = 5\frac{5}{9}$
$(\frac{4}{5} + \frac{1}{6}) * (23\frac{2}{3} - 15\frac{5}{9}) * \frac{45}{58} - \frac{1}{2} = (\frac{24}{30} + \frac{5}{30}) * (23\frac{6}{9} - 15\frac{5}{9}) * \frac{45}{58} - \frac{1}{2} = \frac{29}{30} * 8\frac{1}{9} * \frac{45}{58} - \frac{1}{2} = \frac{29}{30} * \frac{73}{9} * \frac{45}{58} - \frac{1}{2} = \frac{1}{6} * \frac{73}{1} * \frac{1}{2} - \frac{1}{2} = \frac{73}{12} - \frac{1}{2} = \frac{73}{12} - \frac{6}{12} = \frac{67}{12} = 5\frac{7}{12}$
Пожауйста, оцените решение
