\[\boxed{\text{4.\ 180}}\]
\[\textbf{а)} - 1\frac{1}{2} + \left( - 2\frac{1}{2} \right) = - 4\]
\[\textbf{б)} - 4\frac{9}{14} + \left( - 1\frac{1}{7} \right) =\]
\[= - \left( 4\frac{9}{14} + 1\frac{2}{14} \right) = - 5\frac{11}{14}\]
\[\textbf{в)} - 5\frac{7}{12} + \left( - 2\frac{3}{4} \right) =\]
\[= - \left( 5\frac{7}{12} + 2\frac{9}{12} \right) = - 7\frac{16}{12} =\]
\[= - 8\frac{4}{12} = - 8\frac{1}{3}\]
\[\textbf{г)} - 3\frac{4}{9} + \left( - 8\frac{5}{6} \right) =\]
\[= - \left( 3\frac{8}{18} + 8\frac{15}{18} \right) = - 11\frac{23}{18} =\]
\[= - 12\frac{5}{18}\ \]
\[= - 6 + ( - 2) = - 8\]
\[= - 2\frac{14}{28} + \left( - 4\frac{21}{35} \right) =\]
\[= - 2\frac{1}{2} + \left( - 4\frac{3}{5} \right) =\]
\[= - 2,5 + ( - 4,6) = - 7,1\]