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\frac{75}{240}+\frac{32}{240}
Least common multiple of 16 and 15 is 240. Convert \frac{5}{16} and \frac{2}{15} to fractions with denominator 240.
\frac{75+32}{240}
Since \frac{75}{240} and \frac{32}{240} have the same denominator, add them by adding their numerators.
\frac{107}{240}
Add 75 and 32 to get 107.