\[\boxed{\text{5.385.}}\]
\[1)\ 7\frac{6}{22} + 5\frac{5}{22} = 12\frac{11}{22} = 12\frac{1}{2}\ \]
\[2)\ 6\frac{14}{15} - 3\frac{4}{15} = 3\frac{10}{15} = 3\frac{2}{3}\ \]
\[3)\ \frac{22}{36} - \frac{11}{36} + \frac{4}{36} =\]
\[= \frac{22 - 11 + 4}{36} = \frac{15}{36} = \frac{5}{12}\ \]
\[4)\ \frac{12}{75} + \frac{14}{75} - \frac{1}{75} =\]
\[= \frac{12 + 14 - 1}{75} = \frac{25}{75} = \frac{1}{3}\text{\ \ }\]