Ответ:
1) \(\frac{5}{26}+\frac{11}{26}-\frac{7}{26}=\frac{5+11-7}{26}=\frac{9}{26}\).
2) Переведём смешанные числа в неправильные дроби:
\(5\frac{8}{21}=\frac{113}{21}\), \(2\frac{3}{21}=\frac{45}{21}\), \(1\frac{5}{21}=\frac{26}{21}\).
\(\frac{113}{21}-\frac{45}{21}+\frac{26}{21}=\frac{94}{21}=4\frac{10}{21}\).
3) \(1-\frac{15}{17}=\frac{17}{17}-\frac{15}{17}=\frac{2}{17}\).
4) \(4\frac{1}{6}=\frac{25}{6}\), \(1\frac{5}{12}=\frac{17}{12}\).
\(\frac{25}{6}:\frac{17}{12}=\frac{25}{6}\cdot\frac{12}{17}=\frac{50}{17}=2\frac{16}{17}\).
Ответ: 1) \(\frac{9}{26}\); 2) \(4\frac{10}{21}\); 3) \(\frac{2}{17}\); 4) \(2\frac{16}{17}\).
