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\frac{27}{24}+\frac{28}{24}
Least common multiple of 8 and 6 is 24. Convert \frac{9}{8} and \frac{7}{6} to fractions with denominator 24.
\frac{27+28}{24}
Since \frac{27}{24} and \frac{28}{24} have the same denominator, add them by adding their numerators.
\frac{55}{24}
Add 27 and 28 to get 55.