Решите уравнение: 1) \(\frac{5}{13}x=\frac{2}{13}\); 2) \(\frac{8}{9}x=1\); 3) \(\frac{6}{7}x=24\); 4) \(7x=\frac{3}{4}\).

1. \(x=\frac{2}{13}:\frac{5}{13}=\frac{2}{13}\cdot\frac{13}{5}=\frac{2}{5}\).
2. \(x=1:\frac{8}{9}=\frac{9}{8}\).
3. \(x=24:\frac{6}{7}=24\cdot\frac{7}{6}=28\).
4. \(x=\frac{3}{4}:7=\frac{3}{4}\cdot\frac{1}{7}=\frac{3}{28}\).

Ответ: 1) \(x=\frac{2}{5}\); 2) \(x=\frac{9}{8}\); 3) \(x=28\); 4) \(x=\frac{3}{28}\).