4. 209 Выполните сложение: a) 4\(\frac{7}{13} + (-\frac{4}{13});\) б) 2\(\frac{1}{4} + (-\frac{1}{6});\) в) -1 + \(\frac{3}{8};\) г) -5\(\frac{5}{8} + 3\frac{1}{4};\) д) -1\(\frac{2}{5} + \frac{3}{4};\) e) -\(\frac{4}{5} + 5\frac{4}{15};\) ж) -2\(\frac{1}{3} + 4;\) з) 3\(\frac{8}{11} + 11;\)

Ответ: a) 43/13; б) 25/12; в) -5/8; г) -19/8; д) -13/20; e) 21/5; ж) 7/3; з) 151/11

Решаем по порядку:

1. \(4\frac{7}{13} + (-\frac{4}{13}) = \frac{60}{13} - \frac{4}{13} = \frac{56}{13} = 4\frac{3}{13}\)
2. \(2\frac{1}{4} + (-\frac{1}{6}) = \frac{9}{4} - \frac{1}{6} = \frac{27}{12} - \frac{2}{12} = \frac{25}{12} = 2\frac{1}{12}\)
3. \(-1 + \frac{3}{8} = -\frac{8}{8} + \frac{3}{8} = -\frac{5}{8}\)
4. \(-5\frac{5}{8} + 3\frac{1}{4} = -\frac{45}{8} + \frac{13}{4} = -\frac{45}{8} + \frac{26}{8} = -\frac{19}{8} = -2\frac{3}{8}\)
5. \(-1\frac{2}{5} + \frac{3}{4} = -\frac{7}{5} + \frac{3}{4} = -\frac{28}{20} + \frac{15}{20} = -\frac{13}{20}\)
6. \(-\frac{4}{5} + 5\frac{4}{15} = -\frac{4}{5} + \frac{79}{15} = -\frac{12}{15} + \frac{79}{15} = \frac{67}{15} = 4\frac{7}{15}\)
7. \(-2\frac{1}{3} + 4 = -\frac{7}{3} + \frac{12}{3} = \frac{5}{3} = 1\frac{2}{3}\)
8. \(3\frac{8}{11} + 11 = \frac{41}{11} + \frac{121}{11} = \frac{162}{11} = 14\frac{8}{11}\)

Ответ: a) 43/13; б) 25/12; в) -5/8; г) -19/8; д) -13/20; e) 21/5; ж) 7/3; з) 151/11