Вычислите:
а) $\frac{5}{\frac{2}{3}}$;
б) $\frac{\frac{5}{2}}{3}$;
в) $\frac{\frac{3}{4}}{\frac{9}{16}}$;
г) $\frac{\frac{5}{17}}{\frac{15}{34}}$;
д) $\frac{3}{\frac{1}{2} + \frac{1}{4}}$;
е) $\frac{\frac{1}{2} - \frac{1}{6}}{2}$;
ж) $\frac{\frac{9}{16}}{\frac{3}{4} - \frac{3}{8}}$;
з) $\frac{\frac{5}{6} - \frac{2}{3}}{\frac{1}{3}}$;
и) $\frac{\frac{1}{2} + \frac{1}{6}}{\frac{1}{2} - \frac{1}{6}}$;
к) $\frac{\frac{17}{14} - \frac{5}{7}}{\frac{11}{21} + \frac{1}{7}}$.
$\frac{5}{\frac{2}{3}} = 5 * \frac{3}{2} = \frac{15}{2}$
$\frac{\frac{5}{2}}{3} = \frac{5}{2} * \frac{1}{3} = \frac{5}{6}$
$\frac{\frac{3}{4}}{\frac{9}{16}} = \frac{3}{4} * \frac{16}{9} = \frac{1}{1} * \frac{4}{3}$
$\frac{\frac{5}{17}}{\frac{15}{34}} = \frac{5}{17} * \frac{34}{15} = \frac{1}{1} * \frac{2}{3} = \frac{2}{3}$
$\frac{3}{\frac{1}{2} + \frac{1}{4}} = \frac{3}{\frac{2 + 1}{4}} = \frac{3}{\frac{3}{4}} = 3 * \frac{4}{3} = 4$
$\frac{\frac{1}{2} - \frac{1}{6}}{2} = \frac{\frac{3 - 1}{6}}{2} = \frac{\frac{2}{6}}{2} = \frac{\frac{1}{3}}{2} = \frac{1}{3} * \frac{1}{2} = \frac{1}{6}$
$\frac{\frac{9}{16}}{\frac{3}{4} - \frac{3}{8}} = \frac{\frac{9}{16}}{\frac{6 - 3}{8}} = \frac{\frac{9}{16}}{\frac{3}{8}} = \frac{9}{16} * \frac{8}{3} = \frac{3}{2} * \frac{1}{1} = \frac{3}{2}$
$\frac{\frac{5}{6} - \frac{2}{3}}{\frac{1}{3}} = \frac{\frac{5 - 4}{6}}{\frac{1}{3}} = \frac{\frac{1}{6}}{\frac{1}{3}} = \frac{1}{6} * 3 = \frac{3}{6} = \frac{1}{2}$
$\frac{\frac{1}{2} + \frac{1}{6}}{\frac{1}{2} - \frac{1}{6}} = \frac{\frac{3 + 1}{6}}{\frac{3 - 1}{6}} = \frac{\frac{4}{6}}{\frac{2}{6}} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3} * \frac{3}{1} = 2$
$\frac{\frac{17}{14} - \frac{5}{7}}{\frac{11}{21} + \frac{1}{7}} = \frac{\frac{17 - 10}{14}}{\frac{11 + 3}{21}} = \frac{\frac{7}{14}}{\frac{14}{21}} = \frac{\frac{1}{2}}{\frac{2}{3}} = \frac{1}{2} * \frac{3}{2} = \frac{3}{4}$
Пожауйста, оцените решение
