Вопрос:

В3. Найдите частное: а) \(\frac{5}{4} : \frac{2}{15}\); б) \(\frac{64}{131} : \frac{32}{52}\); в) \(\frac{2}{3} : \frac{8}{9}\); г) \(\frac{64}{125} : \frac{6}{4}\); д) \(\frac{3}{4} : 6\); е) \(6 : 4\).

Ответ:

  1. \(\frac{5}{4} : \frac{2}{15}=\frac{5}{4}\cdot\frac{15}{2}=\frac{75}{8}\).
  2. \(\frac{64}{131} : \frac{32}{52}=\frac{64}{131}\cdot\frac{52}{32}=\frac{104}{131}\).
  3. \(\frac{2}{3} : \frac{8}{9}=\frac{2}{3}\cdot\frac{9}{8}=\frac{3}{4}\).
  4. \(\frac{64}{125} : \frac{6}{4}=\frac{64}{125}\cdot\frac{4}{6}=\frac{128}{375}\).
  5. \(\frac{3}{4}:6=\frac{3}{4}\cdot\frac{1}{6}=\frac{1}{8}\).
  6. \(6:4=\frac{6}{4}=\frac{3}{2}\).

Ответ: \(\frac{75}{8};\ \frac{104}{131};\ \frac{3}{4};\ \frac{128}{375};\ \frac{1}{8};\ \frac{3}{2}\).