\(=\left[\left(-\dfrac{3}{31}\right)+\left(-\dfrac{28}{31}\right)\right]+\left[\left(-\dfrac{6}{17}\right)+\left(-\dfrac{11}{17}\right)\right]+\left[\dfrac{1}{25}+\left(-\dfrac{1}{5}\right)\right]\)
\(=\left(-1\right)+\left(-1\right)+\left[\dfrac{1}{25}+\left(-\dfrac{5}{25}\right)\right]\)
\(=\left(-1\right)+\left(-1\right)+\left(-\dfrac{4}{25}\right)\)
\(=\left(-2\right)+\left(-\dfrac{4}{25}\right)\)
\(=\left(-\dfrac{50}{25}\right)+\left(-\dfrac{4}{25}\right)\)
\(=-\dfrac{54}{25}\)
\(=\left(\dfrac{-3}{31}+\dfrac{-28}{31}\right)+\left(\dfrac{-6}{17}+\dfrac{-11}{17}\right)+\left(\dfrac{1}{25}+\dfrac{1}{5}\right)\)
\(=-1+-1+\left(\dfrac{1}{25}+\dfrac{-5}{25}\right)\)
\(=-2\)\(+\dfrac{-4}{25}\)
\(=\)\(\dfrac{50}{25}+\dfrac{-4}{25}\)
=\(\dfrac{46}{25}\)
\(\dfrac{-3}{31}+\dfrac{-6}{17}+\dfrac{1}{25}+\dfrac{-28}{31}+\dfrac{-11}{17}+\dfrac{-1}{5}\)
\(=\left[\left(\dfrac{-3}{31}\right)+\left(\dfrac{-28}{31}\right)\right]+\left[\left(\dfrac{-6}{17}\right)+\left(\dfrac{-11}{17}\right)\right]+\left[\dfrac{1}{25}+\left(\dfrac{-1}{5}\right)\right]\)
\(=\left(-1\right)+\left(-1\right)+\left[\dfrac{1}{25}+\left(\dfrac{-5}{25}\right)\right]\)
\(=\left(-2\right)+\left(\dfrac{-4}{25}\right)\)
\(=\left(\dfrac{-50}{25}\right)+\left(\dfrac{-4}{25}\right)\)
\(=\dfrac{-54}{25}\)
