Решите уравнение: 1) \(10\frac{11}{24} - x = 6\frac{7}{16}\); 2) \(\frac{5}{8} \cdot (\frac{5}{6} + x) - \frac{2}{3} = \frac{13}{18}\).

Ответ: 1) \(x = 4\frac{31}{48}\); 2) \(x = \frac{11}{12}\)

1. \(10\frac{11}{24} - x = 6\frac{7}{16}\) \(x = 10\frac{11}{24} - 6\frac{7}{16}\) \(x = 10\frac{22}{48} - 6\frac{21}{48}\) \(x = 4\frac{1}{48}\)
2. \(\frac{5}{8} \cdot (\frac{5}{6} + x) - \frac{2}{3} = \frac{13}{18}\) \(\frac{5}{8} \cdot (\frac{5}{6} + x) = \frac{13}{18} + \frac{2}{3}\) \(\frac{5}{8} \cdot (\frac{5}{6} + x) = \frac{13}{18} + \frac{12}{18}\) \(\frac{5}{8} \cdot (\frac{5}{6} + x) = \frac{25}{18}\) \(\frac{5}{6} + x = \frac{25}{18} : \frac{5}{8}\) \(\frac{5}{6} + x = \frac{25}{18} \cdot \frac{8}{5}\) \(\frac{5}{6} + x = \frac{5}{9} \cdot \frac{4}{1}\) \(\frac{5}{6} + x = \frac{20}{9}\) \(x = \frac{20}{9} - \frac{5}{6}\) \(x = \frac{40}{18} - \frac{15}{18}\) \(x = \frac{25}{18}\) \(x = 1\frac{7}{18}\)

Ответ: 1) \(x = 4\frac{1}{48}\); 2) \(x = 1\frac{7}{18}\)