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\frac{28}{60}+\frac{25}{60}
Least common multiple of 15 and 12 is 60. Convert \frac{7}{15} and \frac{5}{12} to fractions with denominator 60.
\frac{28+25}{60}
Since \frac{28}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.
\frac{53}{60}
Add 28 and 25 to get 53.