Найдите значение выражения 48 * (23/24 - 5/6)

Привет! Давай решим примеры с дробями по порядку. 1. $48 \cdot \left(\frac{23}{24} - \frac{5}{6}\right) = 48 \cdot \left(\frac{23}{24} - \frac{20}{24}\right) = 48 \cdot \frac{3}{24} = 48 \cdot \frac{1}{8} = 6$. 2. $\frac{7}{10} : \left(\frac{3}{8} - \frac{1}{5}\right) = \frac{7}{10} : \left(\frac{15}{40} - \frac{8}{40}\right) = \frac{7}{10} : \frac{7}{40} = \frac{7}{10} \cdot \frac{40}{7} = 4$. 3. $\frac{13}{9} \cdot \frac{8}{7} + \frac{22}{63} = \frac{104}{63} + \frac{22}{63} = \frac{126}{63} = 2$. 4. $\left(1\frac{3}{5} + 2\frac{2}{15}\right) \cdot \frac{9}{56} = \left(\frac{8}{5} + \frac{32}{15}\right) \cdot \frac{9}{56} = \left(\frac{24}{15} + \frac{32}{15}\right) \cdot \frac{9}{56} = \frac{56}{15} \cdot \frac{9}{56} = \frac{9}{15} = \frac{3}{5} = 0,6$. 5. $\frac{17}{9} : \left(\frac{2}{9} + \frac{1}{4}\right) = \frac{17}{9} : \left(\frac{8}{36} + \frac{9}{36}\right) = \frac{17}{9} : \frac{17}{36} = \frac{17}{9} \cdot \frac{36}{17} = 4$. 6. $1\frac{1}{2} \cdot \frac{5}{12} : 1\frac{1}{4} = \frac{3}{2} \cdot \frac{5}{12} : \frac{5}{4} = \frac{15}{24} \cdot \frac{4}{5} = \frac{5}{8} \cdot \frac{4}{5} = \frac{1}{2} = 0,5$. 7. $2\frac{1}{3} \cdot \frac{9}{16} : 3\frac{1}{2} = \frac{7}{3} \cdot \frac{9}{16} : \frac{7}{2} = \frac{7 \cdot 9}{3 \cdot 16} \cdot \frac{2}{7} = \frac{3}{16} \cdot 2 = \frac{6}{16} = \frac{3}{8} = 0,375$. 8. $1\frac{2}{3} \cdot \frac{14}{25} : 1\frac{1}{6} = \frac{5}{3} \cdot \frac{14}{25} : \frac{7}{6} = \frac{1 \cdot 14}{3 \cdot 5} \cdot \frac{6}{7} = \frac{14}{15} \cdot \frac{6}{7} = \frac{2 \cdot 2}{5} = \frac{4}{5} = 0,8$. 9. $\frac{7}{10} : \left(\frac{3}{8} - \frac{1}{5}\right) = \frac{7}{10} : \left(\frac{15}{40} - \frac{8}{40}\right) = \frac{7}{10} : \frac{7}{40} = \frac{7}{10} \cdot \frac{40}{7} = 4$. (Аналогично примеру 2).