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\frac{8}{56}+\frac{7}{56}
Least common multiple of 7 and 8 is 56. Convert \frac{1}{7} and \frac{1}{8} to fractions with denominator 56.
\frac{8+7}{56}
Since \frac{8}{56} and \frac{7}{56} have the same denominator, add them by adding their numerators.
\frac{15}{56}
Add 8 and 7 to get 15.