\[\boxed{\text{5.200.}}\]
\[\textbf{а)}\ \frac{5}{13} + \frac{2}{13} - \frac{4}{13} = \frac{5 + 2 - 4}{13} =\]
\[= \frac{7 - 4}{13} = \frac{3}{13}\ \]
\[\textbf{б)}\ \frac{7}{21} + \frac{12}{21} - \frac{9}{21} = \frac{7 + 12 - 9}{21} =\]
\[= \frac{19 - 9}{21} = \frac{10}{21}\ \]
\[\textbf{в)}\ \frac{12}{22} - \frac{5}{22} - \frac{5}{22} = \frac{12 - 5 - 5}{22} =\]
\[= \frac{7 - 5}{22} = \frac{2}{22}\ \]
\[\textbf{г)}\ \frac{25}{53} - \frac{10}{53} + \frac{3}{53} =\]
\[= \frac{25 - 10 + 3}{53} = \frac{15 + 3}{53} = \frac{18}{53}\text{\ \ }\]