Question

2/3+5/7+[-2/3]

31/17+[-5/13]+[-8/13]-14/17

Answer 1

\(\dfrac{2}{3}+\dfrac{5}{7}+\left(\dfrac{-2}{3}\right)\)

=\(\left[\dfrac{2}{3}+\left(\dfrac{-2}{3}\right)\right]+\dfrac{5}{7}\)

=\(0+\dfrac{5}{7}=\dfrac{5}{7}\)

\(\dfrac{31}{17}+\left(\dfrac{-5}{13}\right)+\left(\dfrac{-8}{13}\right)-\dfrac{14}{17}\)

=\(\left(\dfrac{31}{17}-\dfrac{14}{17}\right)+\left[\left(\dfrac{-5}{13}\right)+\left(\dfrac{-8}{13}\right)\right]\)

=\(1+\left(-1\right)\)

=\(0\)

Answer 2

\(\dfrac{2}{3}+\dfrac{5}{7}+\left(-\dfrac{2}{3}\right)=\dfrac{5}{7}\)

\(\dfrac{31}{17}+\left(-\dfrac{5}{13}\right)+\left(-\dfrac{8}{13}\right)-\dfrac{14}{17}=1-1=0\)