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\frac{35}{56}+\frac{8}{56}
Least common multiple of 8 and 7 is 56. Convert \frac{5}{8} and \frac{1}{7} to fractions with denominator 56.
\frac{35+8}{56}
Since \frac{35}{56} and \frac{8}{56} have the same denominator, add them by adding their numerators.
\frac{43}{56}
Add 35 and 8 to get 43.