№2. Выполни действия: 1) \(\frac{9}{34} + \frac{17}{34} - \frac{13}{34}\); 2) \(4\frac{5}{41} - 2\frac{3}{41} + 6\frac{7}{41}\); 3) \(1 - \frac{13}{30}\); 4) \(7\frac{5}{9} - 4\frac{4}{9}\); 5) \(\frac{4}{35} \cdot \frac{10}{18} \cdot \frac{24}{9}\); 6) \(\frac{18}{35} : \frac{14}{9}\).

1) \(\frac{9}{34} + \frac{17}{34} - \frac{13}{34} = \frac{9 + 17 - 13}{34} = \frac{26 - 13}{34} = \frac{13}{34}\).

2) \(4\frac{5}{41} - 2\frac{3}{41} + 6\frac{7}{41} = (4 - 2 + 6) + (\frac{5}{41} - \frac{3}{41} + \frac{7}{41}) = 8 + \frac{5 - 3 + 7}{41} = 8 + \frac{9}{41} = 8\frac{9}{41}\).

3) \(1 - \frac{13}{30} = \frac{30}{30} - \frac{13}{30} = \frac{30 - 13}{30} = \frac{17}{30}\).

4) \(7\frac{5}{9} - 4\frac{4}{9} = (7 - 4) + (\frac{5}{9} - \frac{4}{9}) = 3 + \frac{5 - 4}{9} = 3 + \frac{1}{9} = 3\frac{1}{9}\).

5) \(\frac{4}{35} \cdot \frac{10}{18} \cdot \frac{24}{9} = \frac{4 \cdot 10 \cdot 24}{35 \cdot 18 \cdot 9} = \frac{4 \cdot 2 \cdot 5 \cdot 8 \cdot 3}{5 \cdot 7 \cdot 2 \cdot 9 \cdot 9} = \frac{4 \cdot 8 \cdot 3}{7 \cdot 9 \cdot 9} = \frac{96}{567} = \frac{32}{189}\).

6) \(\frac{18}{35} : \frac{14}{9} = \frac{18}{35} \cdot \frac{9}{14} = \frac{18 \cdot 9}{35 \cdot 14} = \frac{2 \cdot 9 \cdot 9}{35 \cdot 2 \cdot 7} = \frac{81}{245}\).

Ответ: 1) \(\frac{13}{34}\); 2) \(8\frac{9}{41}\); 3) \(\frac{17}{30}\); 4) \(3\frac{1}{9}\); 5) \(\frac{32}{189}\); 6) \(\frac{81}{245}\).