Question

\(\dfrac{-7}{8}+\dfrac{8}{13}+\dfrac{-3}{5}+\dfrac{5}{13}\)

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Answer 1

\(\dfrac{-7}{8}+\dfrac{8}{13}+\dfrac{-3}{5}+\dfrac{5}{13}\)

= \(\left(\dfrac{-7}{8}+\dfrac{-3}{5}\right)+\left(\dfrac{8}{13}+\dfrac{5}{13}\right)\)

= \(\left(\dfrac{-35}{40}+\dfrac{-24}{40}\right)+1\)

= \(\dfrac{-59}{40}+\dfrac{40}{40}=\dfrac{-19}{40}\)

Answer 2

=\(\left(\dfrac{8}{13}+\dfrac{5}{13}\right)+\left(\dfrac{-7}{8}+\dfrac{-3}{5}\right)\)

=\(1+\dfrac{-59}{40}\)

=\(\dfrac{-19}{40}\)