\(4\frac{9}{14}-\frac{5}{12}-3\frac{3}{14}+1\frac{1}{14} = (4\frac{9}{14}-3\frac{3}{14}+1\frac{1}{14}) - \frac{5}{12} = (1\frac{6}{14}+1\frac{1}{14}) - \frac{5}{12} = 2\frac{7}{14} - \frac{5}{12} = 2\frac{1}{2} - \frac{5}{12} = \frac{5}{2} - \frac{5}{12} = \frac{30}{12} - \frac{5}{12} = \frac{25}{12} = 2\frac{1}{12}\)
Ответ: 2\( \frac{1}{12} \)