Найдите значение выражения:
а) $(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) * 24 : 5 - \frac{9}{22} : \frac{15}{121}$;
б) $\frac{5}{14} + \frac{18}{35} + (1\frac{1}{4} - \frac{5}{14}) : (\frac{5}{12})^2$.
$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) * 24 : 5 - \frac{9}{22} : \frac{15}{121} = \frac{1 * 3 + 1 * 2 + 1 * 1}{6} * 24 : 5 - \frac{9}{22} * \frac{121}{15} = \frac{6}{6} * 24 : 5 - \frac{3 * 11}{2 * 5} = 24 : 5 - \frac{33}{10} = \frac{24}{5} - \frac{33}{10} = \frac{24 * 2 - 33 * 1}{10} = \frac{48 - 33}{10} = \frac{15}{10} = \frac{3}{2} = 1\frac{1}{2}$
$\frac{5}{14} + \frac{18}{35} + (1\frac{1}{4} - \frac{5}{14}) : (\frac{5}{12})^2 = \frac{5 * 5 + 18 * 2}{70} + (\frac{5}{4} - \frac{5}{14}) : (\frac{5}{12} * \frac{5}{12}) = \frac{25 + 36}{70} + \frac{5 * 7 - 5 * 2}{28} : \frac{25}{144} = \frac{61}{70} + \frac{25}{28} * \frac{144}{25} = \frac{61}{70} + \frac{1 * 36}{7 * 1} = \frac{61}{70} + \frac{36}{7} = \frac{61 + 36 * 10}{70} = \frac{61 + 360}{70} = \frac{421}{70} = 6\frac{1}{70}$
Пожауйста, оцените решение
