Вопрос:

13. Вычислите: A) \(\frac{2}{5} : \frac{5}{7}\) Б) \(\frac{1}{4} : \frac{1}{2}\) B) \(\frac{2}{5} : \frac{3}{5}\) Г) \(\frac{3}{4} : \frac{1}{2}\) Д) \(\frac{3}{7} : \frac{3}{5}\) E) \(\frac{4}{8} : \frac{8}{9}\) E) \(\frac{1}{2} : \frac{3}{5}\) Ж) \(\frac{2}{3} : \frac{4}{9}\) 3) \(\frac{5}{6} : \frac{7}{12}\) И) \(\frac{4}{9} : \frac{2}{5}\) K) \(\frac{2}{9} : \frac{13}{3}\) Л) \(\frac{15}{16} : \frac{3}{10}\) M) \(\frac{7}{12} : \frac{21}{16}\)

Ответ:

13. Вычислите:


A) \( \frac{2}{5} : \frac{5}{7} = \frac{2}{5} \times \frac{7}{5} = \frac{14}{25} \)


Б) \( \frac{1}{4} : \frac{1}{2} = \frac{1}{4} \times \frac{2}{1} = \frac{2}{4} = \frac{1}{2} \)


B) \( \frac{2}{5} : \frac{3}{5} = \frac{2}{5} \times \frac{5}{3} = \frac{2}{3} \)


Г) \( \frac{3}{4} : \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2} \)


Д) \( \frac{3}{7} : \frac{3}{5} = \frac{3}{7} \times \frac{5}{3} = \frac{5}{7} \)


E) \( \frac{4}{8} : \frac{8}{9} = \frac{1}{2} : \frac{8}{9} = \frac{1}{2} \times \frac{9}{8} = \frac{9}{16} \)


E) \( \frac{1}{2} : \frac{3}{5} = \frac{1}{2} \times \frac{5}{3} = \frac{5}{6} \)


Ж) \( \frac{2}{3} : \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{18}{12} = \frac{3}{2} \)


3) \( \frac{5}{6} : \frac{7}{12} = \frac{5}{6} \times \frac{12}{7} = \frac{60}{42} = \frac{10}{7} \)


И) \( \frac{4}{9} : \frac{2}{5} = \frac{4}{9} \times \frac{5}{2} = \frac{20}{18} = \frac{10}{9} \)


K) \( \frac{2}{9} : \frac{13}{3} = \frac{2}{9} \times \frac{3}{13} = \frac{6}{117} = \frac{2}{39} \)


Л) \( \frac{15}{16} : \frac{3}{10} = \frac{15}{16} \times \frac{10}{3} = \frac{150}{48} = \frac{25}{8} \)


M) \( \frac{7}{12} : \frac{21}{16} = \frac{7}{12} \times \frac{16}{21} = \frac{112}{252} = \frac{4}{9} \)

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