2. Выполни действие

Решение:

Выполним действия с дробями, приводя их к общему знаменателю.

1. \( 5\frac{16}{19} + 3\frac{5}{19} = (5+3) + (\frac{16}{19} + \frac{5}{19}) = 8 + \frac{21}{19} = 8 + 1\frac{2}{19} = 9\frac{2}{19} \)
2. \( 15\frac{7}{10} - 2\frac{4}{10} + 6\frac{1}{10} = (15 - 2 + 6) + (\frac{7}{10} - \frac{4}{10} + \frac{1}{10}) = 19 + \frac{7-4+1}{10} = 19 + \frac{4}{10} = 19\frac{4}{10} = 19\frac{2}{5} \)
3. \( 14\frac{6}{20} - 8\frac{12}{20} = 13\frac{26}{20} - 8\frac{12}{20} = (13-8) + (\frac{26}{20} - \frac{12}{20}) = 5 + \frac{14}{20} = 5\frac{14}{20} = 5\frac{7}{10} \)
4. \( 4 - 1\frac{1}{7} = 3\frac{7}{7} - 1\frac{1}{7} = (3-1) + (\frac{7}{7} - \frac{1}{7}) = 2 + \frac{6}{7} = 2\frac{6}{7} \)
5. \( 16\frac{3}{13} - 6\frac{8}{13} = 15\frac{16}{13} - 6\frac{8}{13} = (15-6) + (\frac{16}{13} - \frac{8}{13}) = 9 + \frac{8}{13} = 9\frac{8}{13} \)

Ответ: \( 9\frac{2}{19} \); \( 19\frac{2}{5} \); \( 5\frac{7}{10} \); \( 2\frac{6}{7} \); \( 9\frac{8}{13} \).