2. Вычисление значений выражений:
- \(\frac{3}{14} + (\frac{2}{7} + \frac{1}{2}) = \frac{3}{14} + (\frac{2 \cdot 2}{14} + \frac{1 \cdot 7}{14}) = \frac{3}{14} + \frac{4 + 7}{14} = \frac{3}{14} + \frac{11}{14} = \frac{3 + 11}{14} = \frac{14}{14} = 1\)
- \(\frac{11}{56} + (\frac{6}{7} - \frac{3}{8}) = \frac{11}{56} + (\frac{6 \cdot 8}{56} - \frac{3 \cdot 7}{56}) = \frac{11}{56} + \frac{48 - 21}{56} = \frac{11}{56} + \frac{27}{56} = \frac{11 + 27}{56} = \frac{38}{56} = \frac{19}{28}\)
- \((\frac{5}{8} + \frac{1}{6}) - \frac{7}{24} = (\frac{5 \cdot 3}{24} + \frac{1 \cdot 4}{24}) - \frac{7}{24} = \frac{15 + 4}{24} - \frac{7}{24} = \frac{19}{24} - \frac{7}{24} = \frac{19 - 7}{24} = \frac{12}{24} = \frac{1}{2}\)
- \(\frac{15}{36} - (\frac{1}{3} - \frac{1}{12}) = \frac{15}{36} - (\frac{1 \cdot 4}{12} - \frac{1}{12}) = \frac{15}{36} - \frac{4 - 1}{12} = \frac{15}{36} - \frac{3}{12} = \frac{15}{36} - \frac{3 \cdot 3}{12 \cdot 3} = \frac{15}{36} - \frac{9}{36} = \frac{15 - 9}{36} = \frac{6}{36} = \frac{1}{6}\)
Ответ: а) 1; б) \(\frac{19}{28}\); в) \(\frac{1}{2}\); г) \(\frac{1}{6}\).