Выполните действия:
а) $\frac{5}{6} * (\frac{3}{10} + 1\frac{1}{2})$;
б) $(\frac{5}{8} + \frac{3}{4}) * 1\frac{5}{11}$;
в) $1\frac{1}{5} * (\frac{3}{4} - \frac{1}{3})$;
г) $(1\frac{1}{3} - \frac{5}{6}) * 18$.
$\frac{5}{6} * (\frac{3}{10} + 1\frac{1}{2}) = \frac{5}{6} * (\frac{3}{10} + 1\frac{5}{10}) = \frac{5}{6} * 1\frac{8}{10} = \frac{5}{6} * 1\frac{4}{5} = \frac{5}{6} * \frac{9}{5} = \frac{1}{2} * \frac{3}{1} = \frac{3}{2} = 1\frac{1}{2}$
$(\frac{5}{8} + \frac{3}{4}) * 1\frac{5}{11} = (\frac{5}{8} + \frac{6}{8}) * 1\frac{5}{11} = \frac{11}{8} * \frac{16}{11} = \frac{1}{1} * \frac{2}{1} = 2$
$1\frac{1}{5} * (\frac{3}{4} - \frac{1}{3}) = \frac{6}{5} * (\frac{9}{12} - \frac{4}{12}) = \frac{6}{5} * \frac{5}{12} = \frac{1}{1} * \frac{1}{2} = \frac{1}{2}$
$(1\frac{1}{3} - \frac{5}{6}) * 18 = (1\frac{2}{6} - \frac{5}{6}) * 18 = (\frac{8}{6} - \frac{5}{6}) * 18 = \frac{3}{6} * 18 = 3 * 3 = 9$
Пожауйста, оцените решение
