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\frac{40}{56}+\frac{119}{56}
Least common multiple of 7 and 8 is 56. Convert \frac{5}{7} and \frac{17}{8} to fractions with denominator 56.
\frac{40+119}{56}
Since \frac{40}{56} and \frac{119}{56} have the same denominator, add them by adding their numerators.
\frac{159}{56}
Add 40 and 119 to get 159.