5. Выполните действия: a) \(\frac{11}{13} - \frac{4}{13} + \frac{2}{13}\); б) \(3\frac{3}{11} + 1\frac{9}{11}\); в) \(8 - 5\frac{4}{9}\); г) \(\frac{2}{9} + \frac{1}{2}\); д) \(2\frac{3}{5} \cdot 10\); e) \(\frac{15}{16} : 3\)

a) \(\frac{11}{13} - \frac{4}{13} + \frac{2}{13} = \frac{11 - 4 + 2}{13} = \frac{9}{13}\). б) \(3\frac{3}{11} + 1\frac{9}{11} = (3 + 1) + (\frac{3}{11} + \frac{9}{11}) = 4 + \frac{12}{11} = 4 + 1\frac{1}{11} = 5\frac{1}{11}\). в) \(8 - 5\frac{4}{9} = 7\frac{9}{9} - 5\frac{4}{9} = (7 - 5) + (\frac{9}{9} - \frac{4}{9}) = 2 + \frac{5}{9} = 2\frac{5}{9}\). г) \(\frac{2}{9} + \frac{1}{2} = \frac{2 \cdot 2}{9 \cdot 2} + \frac{1 \cdot 9}{2 \cdot 9} = \frac{4}{18} + \frac{9}{18} = \frac{4 + 9}{18} = \frac{13}{18}\). д) \(2\frac{3}{5} \cdot 10 = \frac{13}{5} \cdot 10 = \frac{13 \cdot 10}{5} = 13 \cdot 2 = 26\). е) \(\frac{15}{16} : 3 = \frac{15}{16} \cdot \frac{1}{3} = \frac{15}{16 \cdot 3} = \frac{5 \cdot 3}{16 \cdot 3} = \frac{5}{16}\).