Решение:
1) \(\frac{5}{9} - (-\frac{1}{6}) = \frac{5}{9} + \frac{1}{6} = \frac{10}{18} + \frac{3}{18} = \frac{13}{18}\)
2) \(\frac{3}{16} - \frac{11}{24} = \frac{9}{48} - \frac{22}{48} = -\frac{13}{48}\)
3) \(\frac{7}{9} - \frac{2}{15} = \frac{35}{45} - \frac{6}{45} = \frac{29}{45}\)
4) \(-\frac{14}{25} - (-\frac{7}{10}) = -\frac{14}{25} + \frac{7}{10} = -\frac{28}{50} + \frac{35}{50} = \frac{7}{50}\)
5) \(2\frac{8}{7} - (-1\frac{2}{5}) = 2 + \frac{8}{7} + 1 + \frac{2}{5} = 3 + \frac{40}{35} + \frac{14}{35} = 3 + \frac{54}{35} = 3 + 1\frac{19}{35} = 4\frac{19}{35}\)
6) \(5\frac{12}{35} - 10 = -4\frac{23}{35}\)
7) \(2\frac{9}{20} - 4\frac{17}{30} = \frac{49}{20} - \frac{137}{30} = \frac{147}{60} - \frac{274}{60} = -\frac{127}{60} = -2\frac{7}{60}\)
8) \(-3\frac{8}{9} - 4\frac{1}{12} = -\frac{35}{9} - \frac{49}{12} = -\frac{140}{36} - \frac{147}{36} = -\frac{287}{36} = -7\frac{35}{36}\)
9) \(-4\frac{3}{16} - (-5\frac{5}{8}) = -4\frac{3}{16} + 5\frac{5}{8} = -4\frac{3}{16} + 5\frac{10}{16} = 1\frac{7}{16}\)
Ответы:
1) \(\frac{13}{18}\)
2) \(-\frac{13}{48}\)
3) \(\frac{29}{45}\)
4) \(\frac{7}{50}\)
5) \(4\frac{19}{35}\)
6) \(-4\frac{23}{35}\)
7) \(-2\frac{7}{60}\)
8) \(-7\frac{35}{36}\)
9) \(1\frac{7}{16}\)