\[- 4\frac{5}{14} + \left( - 7\frac{9}{21} \right) =\]
\[= - \left( 4\frac{5}{14} + 7\frac{9}{21} \right) =\]
\[= - \left( 4\frac{15}{42} + 7\frac{18}{42} \right) =\]
\[= - 11\frac{33}{42} = - 11\frac{11}{14}\]