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) \(-1 \frac{2}{5} + \frac{3}{4}\); е) \(-\frac{4}{5} + 5 \frac{4}{15}\); ж) \(-2 \frac{1}{3} + 3 \frac{2}{5}\); з) \(3 \frac{8}{11} + (-\frac{4}{22})\).

a) \(4 \frac{7}{13} + (-\frac{4}{13}) = 4 + \frac{7}{13} - \frac{4}{13} = 4 + \frac{3}{13} = 4 \frac{3}{13}\) б) \(2 \frac{1}{4} + (-\frac{1}{6}) = 2 + \frac{1}{4} - \frac{1}{6} = 2 + \frac{3}{12} - \frac{2}{12} = 2 + \frac{1}{12} = 2 \frac{1}{12}\) в) \(-1 + \frac{3}{8} = -\frac{8}{8} + \frac{3}{8} = -\frac{5}{8}\) г) \(-5 \frac{5}{8} + 3 \frac{1}{4} = -5 - \frac{5}{8} + 3 + \frac{1}{4} = -2 - \frac{5}{8} + \frac{2}{8} = -2 - \frac{3}{8} = -2 \frac{3}{8}\) д) \(-1 \frac{2}{5} + \frac{3}{4} = -1 - \frac{2}{5} + \frac{3}{4} = -1 - \frac{8}{20} + \frac{15}{20} = -1 + \frac{7}{20} = -\frac{20}{20} + \frac{7}{20} = -\frac{13}{20}\) е) \(-\frac{4}{5} + 5 \frac{4}{15} = -\frac{4}{5} + 5 + \frac{4}{15} = -\frac{12}{15} + 5 + \frac{4}{15} = 5 - \frac{8}{15} = 4 + \frac{15}{15} - \frac{8}{15} = 4 + \frac{7}{15} = 4 \frac{7}{15}\) ж) \(-2 \frac{1}{3} + 3 \frac{2}{5} = -2 - \frac{1}{3} + 3 + \frac{2}{5} = 1 - \frac{1}{3} + \frac{2}{5} = 1 - \frac{5}{15} + \frac{6}{15} = 1 + \frac{1}{15} = 1 \frac{1}{15}\) з) \(3 \frac{8}{11} + (-\frac{4}{22}) = 3 + \frac{8}{11} - \frac{4}{22} = 3 + \frac{16}{22} - \frac{4}{22} = 3 + \frac{12}{22} = 3 + \frac{6}{11} = 3 \frac{6}{11}\)