\(\left(\dfrac{2}{3}-\dfrac{5}{11}+\dfrac{1}{4}\right):\left(1+\dfrac{5}{12}-\dfrac{7}{11}\right)\)
\(=\left(\dfrac{22}{33}-\dfrac{15}{33}+\dfrac{1}{4}\right):\left(1+\dfrac{5}{12}-\dfrac{7}{11}\right)\)
\(=\left(\dfrac{7}{33}+\dfrac{1}{4}\right):\left(\dfrac{12}{12}+\dfrac{5}{12}-\dfrac{7}{11}\right)\)
\(=\left(\dfrac{28}{132}+\dfrac{33}{132}\right):\left(\dfrac{17}{12}-\dfrac{7}{11}\right)=\dfrac{61}{132}:\dfrac{103}{132}\)
\(=\dfrac{61}{132}\times\dfrac{132}{103}=\dfrac{8052}{13596}=\dfrac{61}{103}\)