Выполните действия:
а) $6\frac{6}{11} * \frac{3}{4} : 2\frac{2}{5} * 2\frac{1}{5}$;
б) $9 : 6\frac{1}{4} * 2\frac{1}{2} : \frac{3}{5}$;
в) $9\frac{1}{3} : \frac{7}{8} * \frac{9}{16} : \frac{14}{27}$;
г) $1\frac{5}{6} : 2\frac{1}{3} * 3\frac{3}{4} * 4\frac{1}{5}$.
$6\frac{6}{11} * \frac{3}{4} : 2\frac{2}{5} * 2\frac{1}{5} = \frac{72}{11} * \frac{3}{4} : \frac{12}{5} * \frac{11}{5} = \frac{72}{11} * \frac{3}{4} * \frac{5}{12} * \frac{11}{5} = \frac{72 * 3 * 5 * 11}{11 * 4 * 12 * 5} = \frac{6 * 3 * 1 * 1}{1 * 4 * 1 * 1} = \frac{3 * 3}{2} = \frac{9}{2} = 4\frac{1}{2}$
$9 : 6\frac{1}{4} * 2\frac{1}{2} : \frac{3}{5} = \frac{9}{1} : \frac{25}{4} * \frac{5}{2} * \frac{5}{3} = \frac{9 * 4 * 5 * 5}{25 * 2 * 3} = \frac{3 * 2 * 1 * 1}{1 * 1 * 1} = 6$
$9\frac{1}{3} : \frac{7}{8} * \frac{9}{16} : \frac{14}{27} = \frac{28}{3} * \frac{8}{7} * \frac{9}{16} * \frac{27}{14} = \frac{2 * 1 * 3 * 27}{1 * 7 * 2 * 1} = \frac{3 * 27}{7} = \frac{81}{7} = 11\frac{4}{7}$
$1\frac{5}{6} : 2\frac{1}{3} * 3\frac{3}{4} * 4\frac{1}{5} = \frac{11}{6} : \frac{7}{3} * \frac{15}{4} * \frac{21}{5} = \frac{11}{6} * \frac{3}{7} * \frac{15}{4} * \frac{21}{5} = \frac{11}{6} * \frac{3}{7} * \frac{15}{4} * \frac{21}{5} = \frac{11 * 3 * 15 * 21}{6 * 7 * 4 * 5} = \frac{11 * 1 * 3 * 3}{2 * 1 * 4 * 1} = \frac{99}{8} = 12\frac{3}{8}$
Пожауйста, оцените решение
