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\frac{35}{56}+\frac{16}{56}
Least common multiple of 8 and 7 is 56. Convert \frac{5}{8} and \frac{2}{7} to fractions with denominator 56.
\frac{35+16}{56}
Since \frac{35}{56} and \frac{16}{56} have the same denominator, add them by adding their numerators.
\frac{51}{56}
Add 35 and 16 to get 51.