Вычислите:
а)
$4 : \frac{2}{5}$;
$15 : \frac{5}{7}$;
$24 : \frac{4}{9}$;
б)
$18 : 2\frac{1}{4}$;
$10 : 1\frac{7}{8}$;
$35 : 2\frac{4}{5}$;
в)
$\frac{5}{8} : \frac{4}{9}$;
$\frac{15}{14} : \frac{20}{7}$;
$\frac{17}{30} : \frac{7}{15}$;
г)
$\frac{2}{3} : 1\frac{1}{4}$;
$1\frac{2}{3} : 3\frac{1}{2}$;
$4\frac{3}{5} : \frac{5}{23}$.
$4 : \frac{2}{5} = 4 * \frac{5}{2} = 2 * 5 = 10$;
$15 : \frac{5}{7} = 15 * \frac{7}{5} = 3 * 7 = 21$;
$24 : \frac{4}{9} = 24 * \frac{9}{4} = 6 * 9 = 54$.
$18 : 2\frac{1}{4} = 18 : \frac{9}{4} = 18 * \frac{4}{9} = 2 * 4 = 8$;
$10 : 1\frac{7}{8} = 10 : \frac{15}{8} = 10 * \frac{8}{15} = 2 * \frac{8}{3} = \frac{16}{3} = 5\frac{1}{3}$;
$35 : 2\frac{4}{5} = 35 : \frac{14}{5} = 35 * \frac{5}{14} = 5 * \frac{5}{2} = \frac{25}{2} = 12\frac{1}{2}$.
$\frac{5}{8} : \frac{4}{9} = \frac{5}{8} * \frac{9}{4} = \frac{45}{32} = 1\frac{13}{32}$;
$\frac{15}{14} : \frac{20}{7} = \frac{15}{14} * \frac{7}{20} = \frac{3}{2} * \frac{1}{4} = \frac{3}{8}$;
$\frac{17}{30} : \frac{7}{15} = \frac{17}{30} * \frac{15}{7} = \frac{17}{2} * \frac{1}{7} = \frac{17}{14} = 1\frac{3}{14}$.
$\frac{2}{3} : 1\frac{1}{4} = \frac{2}{3} : \frac{5}{4} = \frac{2}{3} * \frac{4}{5} = \frac{8}{15}$;
$1\frac{2}{3} : 3\frac{1}{2} = \frac{5}{3} : \frac{7}{2} = \frac{5}{3} * \frac{2}{7} = \frac{10}{21}$;
$4\frac{3}{5} : \frac{5}{23} = \frac{23}{5} : \frac{5}{23} = \frac{23}{5} * \frac{23}{5} = \frac{529}{25} = 21\frac{4}{25}$.
Пожауйста, оцените решение
