a) \(\left(-17+\left|91\right|\right)-\left(91-\left|-17\right|-2011\right)\)
\(=\left(-17+91\right)-\left(91-17-2011\right)\)
\(=74-\left(74-2011\right)\)
\(=74-74+2011\)
\(=0+2011\)
\(=2011\)
b) \(\dfrac{4}{7}+\dfrac{5}{6}:5-0,375.\left(-2\right)^2\)
\(=\dfrac{4}{7}+\dfrac{1}{6}-\dfrac{3}{8}.4\)
\(=\dfrac{24}{42}+\dfrac{7}{42}-\dfrac{3}{2}\)
\(=\dfrac{31}{42}-\dfrac{63}{42}\)
\(=\dfrac{-16}{21}\)
c) \(\left(\dfrac{-17}{11}:\dfrac{5}{12}+\dfrac{-4}{12}:\dfrac{5}{12}\right).2.\dfrac{\left|-5\right|}{3}\)
\(=\left(\dfrac{-17}{11}+\dfrac{-4}{12}\right):\dfrac{5}{12}.\dfrac{2.\left|-5\right|}{3}\)
\(=\left(\dfrac{-204}{132}+\dfrac{-44}{132}\right):\dfrac{5}{12}.\dfrac{2.5}{3}\)
\(=\dfrac{-62}{33}:\dfrac{5}{12}.\dfrac{10}{3}\)
\(=\dfrac{-248}{55}.\dfrac{10}{3}\)
\(=\dfrac{-496}{33}\)
