\(\dfrac{14}{21}\times\dfrac{2}{11}+\dfrac{1}{11}:\dfrac{3}{2}+\dfrac{2}{3}:\dfrac{11}{4}+\dfrac{4}{11}\times\dfrac{16}{24}\\ =\dfrac{2}{3}\times\dfrac{2}{11}+\dfrac{1}{11}\times\dfrac{2}{3}+\dfrac{2}{3}\times\dfrac{4}{11}+\dfrac{4}{11}\times\dfrac{2}{3}\\ =\dfrac{2}{3}\times\left(\dfrac{2}{11}+\dfrac{1}{11}+\dfrac{4}{11}+\dfrac{4}{11}\right)\\ =\dfrac{2}{3}\times\dfrac{2+1+4+4}{11}\\ =\dfrac{2}{3}\times\dfrac{11}{11}=\dfrac{2}{3}\times1=\dfrac{2}{3}\)