\(-\frac{7}{15}+\frac{5}{31}+\frac{-8}{15}+\frac{26}{31}=\frac{-7-8}{15}+\frac{5+26}{31}\)
\(=\frac{-15}{15}+\frac{31}{31}\)
\(=-1+1\)
= 0
\(\left(\frac{-7}{15}\right)+\frac{5}{31}+\left(\frac{-8}{15}\right)+\frac{26}{31}\)
\(=\left[\left(\frac{-7}{15}\right)+\left(\frac{-8}{15}\right)\right]+\left(\frac{5}{31}+\frac{26}{31}\right)\)
\(=\frac{-15}{15}+\frac{31}{31}\)
\(=-1+1\)
\(=0\)
\(\frac{-7}{15}+\frac{5}{31}+\frac{-8}{15}+\frac{26}{31}\)
\(=\left(\frac{-7}{15}+\frac{-8}{15}\right)+\left(\frac{5}{31}+\frac{26}{31}\right)\)
\(=\frac{-15}{15}+\frac{31}{31}\)
\(=\left(-1\right)+1=0\)
=( \(\frac{-7}{15}+\frac{-8}{15}\)) + ( \(\frac{5}{31}+\frac{26}{31}\))
=(-1) + 1
=0