Вариант 8. 1. Выполните действия: a) \(\frac{3}{8} : \frac{9}{16} = \), б) \(4\frac{1}{2} : 5\frac{1}{4} = \), в) \(48 : \frac{12}{13} = \), г) \(\frac{15}{16} : 5 = \), д) \(4\frac{3}{4} : \frac{1}{4} - 2\frac{3}{14} * 7 = \)

Решение: a) \(\frac{3}{8} : \frac{9}{16} = \frac{3}{8} * \frac{16}{9} = \frac{3 * 16}{8 * 9} = \frac{48}{72} = \frac{2}{3}\) б) \(4\frac{1}{2} : 5\frac{1}{4} = \frac{9}{2} : \frac{21}{4} = \frac{9}{2} * \frac{4}{21} = \frac{9 * 4}{2 * 21} = \frac{36}{42} = \frac{6}{7}\) в) \(48 : \frac{12}{13} = 48 * \frac{13}{12} = \frac{48 * 13}{12} = \frac{624}{12} = 52\) г) \(\frac{15}{16} : 5 = \frac{15}{16} * \frac{1}{5} = \frac{15}{16 * 5} = \frac{15}{80} = \frac{3}{16}\) д) \(4\frac{3}{4} : \frac{1}{4} - 2\frac{3}{14} * 7 = \frac{19}{4} : \frac{1}{4} - \frac{31}{14} * 7 = \frac{19}{4} * 4 - \frac{31}{14} * 7 = 19 - \frac{31}{2} = 19 - 15.5 = 3.5\) Ответ: а) \(\frac{2}{3}\), б) \(\frac{6}{7}\), в) 52, г) \(\frac{3}{16}\), д) 3.5