Решите уравнение:
а) $2\frac{1}{3}k = 4\frac{1}{2} * 1\frac{1}{9}$;
б) $8\frac{1}{2}m = 3\frac{2}{3} * 1\frac{1}{11}$;
в) $y : \frac{4}{5} = 3\frac{1}{8} : 1\frac{1}{4}$;
г) $z : \frac{3}{14} = 3\frac{1}{9} : \frac{4}{9}$.
$2\frac{1}{3}k = 4\frac{1}{2} * 1\frac{1}{9}$
$k = 4\frac{1}{2} * 1\frac{1}{9} : 2\frac{1}{3}$
$k = \frac{9}{2} * \frac{10}{9} * \frac{3}{7}$
$k = \frac{1}{1} * \frac{5}{1} * \frac{3}{7}$
$k = \frac{15}{7} = 2\frac{1}{7}$
$8\frac{1}{2}m = 3\frac{2}{3} * 1\frac{1}{11}$
$m = 3\frac{2}{3} * 1\frac{1}{11} : 8\frac{1}{2}$
$m = \frac{11}{3} * \frac{12}{11} * \frac{2}{17}$
$m = \frac{1}{1} * \frac{4}{1} * \frac{2}{17}$
$m = \frac{8}{17}$
$y : \frac{4}{5} = 3\frac{1}{8} : 1\frac{1}{4}$
$y = \frac{25}{8} : \frac{5}{4} * \frac{4}{5}$
$y = \frac{25}{8} * \frac{4}{5} * \frac{4}{5}$
$y = \frac{1}{1} * \frac{1}{1} * \frac{2}{1}$
$y = 2$
$z : \frac{3}{14} = 3\frac{1}{9} : \frac{4}{9}$
$z = 3\frac{1}{9} : \frac{4}{9} * \frac{3}{14}$
$z = \frac{28}{9} * \frac{9}{4} * \frac{3}{14}$
$z = \frac{1}{1} * \frac{3}{2} * \frac{1}{1}$
$z = \frac{3}{2} = 1\frac{1}{2}$
Пожауйста, оцените решение
