Giải:
\(\left(\dfrac{-3}{7}+\dfrac{4}{11}\right):\dfrac{7}{11}+\left(-\dfrac{4}{7}+\dfrac{7}{11}\right):\dfrac{7}{11}\)
\(=\left(\dfrac{-3}{7}+\dfrac{4}{11}\right).\dfrac{11}{7}+\left(-\dfrac{4}{7}+\dfrac{7}{11}\right).\dfrac{11}{7}\)
\(=\left[\dfrac{-3}{7}+\dfrac{4}{11}+\left(-\dfrac{4}{7}\right)+\dfrac{7}{11}\right].\dfrac{11}{7}\)
\(=\left[\dfrac{-3}{7}+\left(-\dfrac{4}{7}\right)+\dfrac{4}{11}+\dfrac{7}{11}\right].\dfrac{11}{7}\)
\(=\left[\dfrac{-7}{7}+\dfrac{11}{11}\right].\dfrac{11}{7}\)
\(=\left[-1+1\right].\dfrac{11}{7}\)
\(=0.\dfrac{11}{7}=0\)
Vậy ...
\(\left(\dfrac{-3}{7}+\dfrac{4}{11}\right):\dfrac{7}{11}+\left(\dfrac{-4}{7}+\dfrac{7}{11}\right):\dfrac{7}{11}\)
= \(\left(\dfrac{-3}{7}+\dfrac{4}{11}\right).\dfrac{11}{7}+\left(\dfrac{-4}{7}+\dfrac{7}{11}\right).\dfrac{11}{7}\)
= \(\left(\dfrac{-3}{7}+\dfrac{4}{11}+\dfrac{-4}{7}+\dfrac{7}{11}\right)\)\(.\dfrac{11}{7}\)
= \(\left(-1+1\right).\dfrac{11}{7}\)
= \(0.\dfrac{11}{7}\)
= \(0\)