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-\frac{7}{56}+\frac{8}{56}
Least common multiple of 8 and 7 is 56. Convert -\frac{1}{8} and \frac{1}{7} to fractions with denominator 56.
\frac{-7+8}{56}
Since -\frac{7}{56} and \frac{8}{56} have the same denominator, add them by adding their numerators.
\frac{1}{56}
Add -7 and 8 to get 1.