а) \(14\frac{20}{29} - (3\frac{13}{29} + 2\frac{7}{29}) - 5\frac{6}{7}\)
1. \(3\frac{13}{29} + 2\frac{7}{29} = 5\frac{20}{29}\)
2. \(14\frac{20}{29} - 5\frac{20}{29} = 9\)
3. \(9 - 5\frac{6}{7} = 8\frac{7}{7} - 5\frac{6}{7} = 3\frac{1}{7}\)
Ответ: \(3\frac{1}{7}\)
б) \((5 - 1\frac{9}{14}) - (2\frac{11}{14} + \frac{5}{14})\)
1. \(5 - 1\frac{9}{14} = 4\frac{14}{14} - 1\frac{9}{14} = 3\frac{5}{14}\)
2. \(2\frac{11}{14} + \frac{5}{14} = 2\frac{16}{14} = 3\frac{2}{14} = 3\frac{1}{7}\)
3. \(3\frac{5}{14} - 3\frac{1}{7} = 3\frac{5}{14} - 3\frac{2}{14} = \frac{3}{14}\)
Ответ: \(\frac{3}{14}\)
в) \((4\frac{13}{16}+8\frac{7}{16})-5\frac{7}{16}\)
1. \(4\frac{13}{16}+8\frac{7}{16}=12\frac{20}{16}=13\frac{4}{16}=13\frac{1}{4}\)
2. \(13\frac{1}{4}-5\frac{7}{16}=13\frac{4}{16}-5\frac{7}{16}=12\frac{20}{16}-5\frac{7}{16}=7\frac{13}{16}\)
Ответ: \(7\frac{13}{16}\)
г) \(15\frac{19}{32} - (14\frac{19}{32} + \frac{25}{32})\)
1. \(14\frac{19}{32} + \frac{25}{32} = 14\frac{44}{32}=15\frac{12}{32}=15\frac{3}{8}\)
2. \(15\frac{19}{32} - 15\frac{3}{8}=15\frac{19}{32} - 15\frac{12}{32}=\frac{7}{32}\)
Ответ: \(\frac{7}{32}\)