Вопрос:

Найдите частное: a) \(\frac{3}{8} : \frac{1}{3}\) b) \(\frac{5}{4} : \frac{2}{15}\) v) \(\frac{2}{3} : \frac{8}{9}\) g) \(5 : \frac{2}{3}\) d) \(\frac{64}{131} : \frac{32}{52}\) e) \(\frac{1}{12} : \frac{5}{36}\) z) \(\frac{64}{125} : 4\) z) \(9 : \frac{3}{4}\) i) \(\frac{14}{55} : \frac{5}{21}\) k) \(9 : 4\) l) \(\frac{121}{234} : \frac{11}{12}\) m) \(\frac{7}{12} : \frac{1}{6}\)

Ответ:

Решение: а) \(\frac{3}{8} : \frac{1}{3} = \frac{3}{8} \cdot \frac{3}{1} = \frac{9}{8} = 1\frac{1}{8}\) b) \(\frac{5}{4} : \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8} = 9\frac{3}{8}\) v) \(\frac{2}{3} : \frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{18}{24} = \frac{3}{4}\) g) \(5 : \frac{2}{3} = \frac{5}{1} \cdot \frac{3}{2} = \frac{15}{2} = 7\frac{1}{2}\) d) \(\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2 \cdot 52}{131} = \frac{104}{131}\) e) \(\frac{1}{12} : \frac{5}{36} = \frac{1}{12} \cdot \frac{36}{5} = \frac{36}{60} = \frac{3}{5}\) z) \(\frac{64}{125} : 4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}\) z) \(9 : \frac{3}{4} = \frac{9}{1} \cdot \frac{4}{3} = \frac{36}{3} = 12\) i) \(\frac{14}{55} : \frac{5}{21} = \frac{14}{55} \cdot \frac{21}{5} = \frac{294}{275} \) k) \(9 : 4 = \frac{9}{4} = 2\frac{1}{4}\) l) \(\frac{121}{234} : \frac{11}{12} = \frac{121}{234} \cdot \frac{12}{11} = \frac{11 \cdot 12}{234} = \frac{132}{234} = \frac{22}{39}\) m) \(\frac{7}{12} : \frac{1}{6} = \frac{7}{12} \cdot \frac{6}{1} = \frac{42}{12} = \frac{7}{2} = 3\frac{1}{2}\)
Убрать каракули
Смотреть решения всех заданий с фото

Похожие