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\frac{75}{120}+\frac{16}{120}
Least common multiple of 8 and 15 is 120. Convert \frac{5}{8} and \frac{2}{15} to fractions with denominator 120.
\frac{75+16}{120}
Since \frac{75}{120} and \frac{16}{120} have the same denominator, add them by adding their numerators.
\frac{91}{120}
Add 75 and 16 to get 91.