**1 Вариант**
1) \(x + 3\frac{4}{13} = 5\frac{10}{13}\)
\(x = 5\frac{10}{13} - 3\frac{4}{13} = (5-3) + (\frac{10}{13} - \frac{4}{13}) = 2 + \frac{6}{13} = 2\frac{6}{13}\)
2) \(4\frac{2}{5} - x = 3\frac{3}{5}\)
\(x = 4\frac{2}{5} - 3\frac{3}{5} = (4-3) + (\frac{2}{5} - \frac{3}{5}) = 1 - \frac{1}{5} = \frac{5}{5} - \frac{1}{5} = \frac{4}{5}\)
3) \(2\frac{2}{3}x = \frac{8}{13}\)
\(\frac{8}{3}x = \frac{8}{13}\)
\(x = \frac{8}{13} : \frac{8}{3} = \frac{8}{13} \cdot \frac{3}{8} = \frac{1}{13} \cdot \frac{3}{1} = \frac{3}{13}\)
**2 Вариант**
1) \(2\frac{3}{11} + x = 4\frac{7}{11}\)
\(x = 4\frac{7}{11} - 2\frac{3}{11} = (4-2) + (\frac{7}{11} - \frac{3}{11}) = 2 + \frac{4}{11} = 2\frac{4}{11}\)
2) \(x - 3\frac{2}{5} = 2\frac{3}{5}\)
\(x = 2\frac{3}{5} + 3\frac{2}{5} = (2+3) + (\frac{3}{5} + \frac{2}{5}) = 5 + \frac{5}{5} = 5 + 1 = 6\)
3) \(3\frac{1}{3}x = \frac{10}{11}\)
\(\frac{10}{3}x = \frac{10}{11}\)
\(x = \frac{10}{11} : \frac{10}{3} = \frac{10}{11} \cdot \frac{3}{10} = \frac{1}{11} \cdot \frac{3}{1} = \frac{3}{11}\)