Решение:
1) \(\frac{7}{8} - (-\frac{3}{10}) = \frac{7}{8} + \frac{3}{10} = \frac{35}{40} + \frac{12}{40} = \frac{47}{40} = 1\frac{7}{40}\)
2) \(\frac{11}{12} - \frac{17}{18} = \frac{33}{36} - \frac{34}{36} = -\frac{1}{36}\)
3) \(-\frac{3}{7} - \frac{9}{14} = -\frac{6}{14} - \frac{9}{14} = -\frac{15}{14} = -1\frac{1}{14}\)
4) \(-\frac{5}{9} - (-\frac{3}{4}) = -\frac{5}{9} + \frac{3}{4} = -\frac{20}{36} + \frac{27}{36} = \frac{7}{36}\)
5) \(3\frac{11}{12} - (-4\frac{4}{9}) = 3\frac{11}{12} + 4\frac{4}{9} = 3 + \frac{11}{12} + 4 + \frac{4}{9} = 7 + \frac{33}{36} + \frac{16}{36} = 7 + \frac{49}{36} = 7 + 1\frac{13}{36} = 8\frac{13}{36}\)
6) \(4\frac{5}{17} - 6 = -1\frac{12}{17}\)
7) \(1\frac{3}{8} - 3\frac{1}{4} = \frac{11}{8} - \frac{13}{4} = \frac{11}{8} - \frac{26}{8} = -\frac{15}{8} = -1\frac{7}{8}\)
8) \(-2\frac{14}{15} - 1\frac{19}{45} = -\frac{44}{15} - \frac{64}{45} = -\frac{132}{45} - \frac{64}{45} = -\frac{196}{45} = -4\frac{16}{45}\)
9) \(-3\frac{1}{6} - (-1\frac{1}{4}) = -3\frac{1}{6} + 1\frac{1}{4} = -\frac{19}{6} + \frac{5}{4} = -\frac{38}{12} + \frac{15}{12} = -\frac{23}{12} = -1\frac{11}{12}\)
Ответы:
1) \(1\frac{7}{40}\)
2) \(-\frac{1}{36}\)
3) \(-1\frac{1}{14}\)
4) \(\frac{7}{36}\)
5) \(8\frac{13}{36}\)
6) \(-1\frac{12}{17}\)
7) \(-1\frac{7}{8}\)
8) \(-4\frac{16}{45}\)
9) \(-1\frac{11}{12}\)