**Решение:**
**a)**
Начнем с центра: \(\frac{1}{7}\)
1) \(\frac{1}{7} + 1 = \frac{1}{7} + \frac{7}{7} = \frac{8}{7} = 1\frac{1}{7}\)
2) \(\frac{1}{7} + 2 = \frac{1}{7} + \frac{14}{7} = \frac{15}{7} = 2\frac{1}{7}\)
3) \(\frac{1}{7} - \frac{1}{7} = 0\)
4) \(\frac{1}{7} + \frac{5}{7} = \frac{6}{7}\)
5) \(\frac{1}{7} + \frac{6}{21} = \frac{1}{7} + \frac{2}{7} = \frac{3}{7}\)
6) \(\frac{1}{7} + \frac{1}{9} = \frac{9}{63} + \frac{7}{63} = \frac{16}{63}\)
**б)**
Начнем с центра: \(\frac{1}{12}\)
1) \(\frac{1}{12} + (-1) = \frac{1}{12} - \frac{12}{12} = -\frac{11}{12}\)
2) \(\frac{1}{12} + \frac{5}{12} = \frac{6}{12} = \frac{1}{2}\)
3) \(\frac{1}{12} + (-\frac{1}{4}) = \(\frac{1}{12} - \frac{3}{12} = -\frac{2}{12} = -\frac{1}{6}\)
4) \(\frac{1}{12} + (-\frac{1}{6}) = \(\frac{1}{12} - \frac{2}{12} = -\frac{1}{12}\)
5) \(\frac{1}{12} + (-\frac{7}{12}) = -\frac{6}{12} = -\frac{1}{2}\)
6) \(\frac{1}{12} + \frac{1}{4} = \(\frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}\)