a: \(-\dfrac{5}{14}:\dfrac{7}{17}-\dfrac{5}{14}:\dfrac{7}{11}-\dfrac{6}{7}\)
\(=-\dfrac{5}{14}\cdot\dfrac{17}{7}-\dfrac{5}{14}\cdot\dfrac{11}{7}-\dfrac{6}{7}\)
\(=\dfrac{-5}{14}\left(\dfrac{17}{7}+\dfrac{11}{7}\right)-\dfrac{6}{7}\)
\(=-\dfrac{5}{14}\cdot\dfrac{28}{7}-\dfrac{6}{7}=-\dfrac{5}{14}\cdot4-\dfrac{6}{7}\)
\(=-\dfrac{10}{7}-\dfrac{6}{7}=-\dfrac{16}{7}\)
b: \(\left(-\dfrac{5}{3}+\dfrac{-3}{2}\right):\dfrac{17}{13}+\left(\dfrac{7}{2}+\dfrac{-1}{3}\right):\dfrac{17}{13}\)
\(=\left(-\dfrac{5}{3}+\dfrac{-3}{2}+\dfrac{7}{2}-\dfrac{1}{3}\right):\dfrac{17}{13}\)
\(=\left(-2+2\right)\cdot\dfrac{13}{17}=0\)
c: \(\left(-\dfrac{4}{7}+\dfrac{2}{5}\right):\dfrac{2}{3}+\left(-\dfrac{3}{7}+\dfrac{3}{5}\right):\dfrac{2}{3}\)
\(=\left(-\dfrac{4}{7}+\dfrac{2}{5}+\dfrac{-3}{7}+\dfrac{3}{5}\right):\dfrac{2}{3}\)
\(=\left(-1+1\right)\cdot\dfrac{3}{2}=0\)
d: \(\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{7}{3}+\left(\dfrac{3}{5}+\dfrac{-1}{4}\right):\dfrac{7}{3}\)
\(=\left(-\dfrac{3}{4}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{-1}{4}\right):\dfrac{7}{3}\)
\(=\left(-1+1\right)\cdot\dfrac{3}{7}=0\)
