Реши примеры с дробями: 1) 2 2/3 : 8/15, 2) 1 3/14 : (5/8 - 9/28), 3) (3 1/7 - 2 1/3) : 1 13/21, 4) 1 16/65 * 7/81, 5) 12/35 * 1 3/4 - 5/14

Конечно, давай решим эти примеры по порядку: 1) $2\frac{2}{3} : \frac{8}{15} = \frac{8}{3} : \frac{8}{15} = \frac{8}{3} \cdot \frac{15}{8} = \frac{15}{3} = 5$ 2) $1\frac{3}{14} : (\frac{5}{8} - \frac{9}{28}) = \frac{17}{14} : (\frac{35}{56} - \frac{18}{56}) = \frac{17}{14} : \frac{17}{56} = \frac{17}{14} \cdot \frac{56}{17} = \frac{56}{14} = 4$ 3) $(3\frac{1}{7} - 2\frac{1}{3}) : 1\frac{13}{21} = (\frac{22}{7} - \frac{7}{3}) : \frac{34}{21} = (\frac{66}{21} - \frac{49}{21}) : \frac{34}{21} = \frac{17}{21} : \frac{34}{21} = \frac{17}{21} \cdot \frac{21}{34} = \frac{17}{34} = \frac{1}{2}$ 4) $1\frac{16}{65} \cdot \frac{7}{81} = \frac{81}{65} \cdot \frac{7}{81} = \frac{7}{65}$ 5) $\frac{12}{35} \cdot 1\frac{3}{4} - \frac{5}{14} = \frac{12}{35} \cdot \frac{7}{4} - \frac{5}{14} = \frac{3}{5} \cdot \frac{1}{1} - \frac{5}{14} = \frac{3}{5} - \frac{5}{14} = \frac{42}{70} - \frac{25}{70} = \frac{17}{70}$ **Ответы:** 1) 5 2) 4 3) $\frac{1}{2}$ 4) $\frac{7}{65}$ 5) $\frac{17}{70}$