a) \(\dfrac{1}{3}+\dfrac{5}{2}-\dfrac{11}{12}=\dfrac{4}{12}+\dfrac{30}{12}-\dfrac{11}{12}=\dfrac{23}{12}\)
b) \(\dfrac{-7}{5}+\dfrac{8}{13}+\dfrac{-3}{5}+\dfrac{5}{13}=\left(\dfrac{-7}{5}+\dfrac{-3}{5}\right)+\left(\dfrac{8}{13}+\dfrac{5}{13}\right)=-\dfrac{10}{5}+1=\left(-2\right)+1=-1\)
c) \(\dfrac{-4}{13}\cdot\dfrac{5}{11}+\dfrac{-4}{13}\div\dfrac{11}{6}-\dfrac{18}{26}=\dfrac{-4}{13}\cdot\dfrac{5}{11}+\dfrac{-4}{13}\cdot\dfrac{6}{11}-\dfrac{9}{13}=\dfrac{-4}{13}\cdot\left(\dfrac{5}{11}+\dfrac{6}{11}\right)-\dfrac{9}{13}=\dfrac{-4}{13}-\dfrac{9}{13}=\dfrac{-13}{13}=-1\)
d) \(\dfrac{2021}{2022}\cdot\dfrac{7}{18}-\dfrac{2021}{2022}\cdot\dfrac{11}{-18}=\dfrac{2021}{2022}\cdot\dfrac{7}{18}-\dfrac{2021}{2022}\cdot\dfrac{-11}{18}=\dfrac{2021}{2022}\cdot\left(\dfrac{7}{18}-\dfrac{-11}{18}\right)=\dfrac{2021}{2022}\cdot1=\dfrac{2021}{2022}\)
