\(-\dfrac{13}{7}+\dfrac{3}{5}+\left(-\dfrac{1}{7}\right)\)
\(=-\dfrac{13}{7}+\left(-\dfrac{1}{7}\right)+\dfrac{3}{5}\)
\(=-\dfrac{14}{7}+\dfrac{3}{5}\)
\(=-2+\dfrac{3}{5}\)
\(=-\dfrac{10}{5}+\dfrac{3}{5}\)
\(=-\dfrac{7}{5}\)
\(\dfrac{-13}{7}+\dfrac{3}{5}+\dfrac{-1}{7}\)
\(=\left(\dfrac{-13}{7}+\dfrac{-1}{7}\right)+\dfrac{3}{5}\)
\(=\dfrac{-13+\left(-1\right)}{7}+\dfrac{3}{5}\)
\(=-2+\dfrac{3}{5}\)
\(=\dfrac{-2}{1}+\dfrac{3}{5}\)
\(=\dfrac{-10}{5}+\dfrac{3}{5}\)
\(=\dfrac{-7}{5}\)