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\frac{21}{24}+\frac{20}{24}
Least common multiple of 8 and 6 is 24. Convert \frac{7}{8} and \frac{5}{6} to fractions with denominator 24.
\frac{21+20}{24}
Since \frac{21}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.
\frac{41}{24}
Add 21 and 20 to get 41.