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\frac{4}{60}+\frac{5}{60}
Least common multiple of 15 and 12 is 60. Convert \frac{1}{15} and \frac{1}{12} to fractions with denominator 60.
\frac{4+5}{60}
Since \frac{4}{60} and \frac{5}{60} have the same denominator, add them by adding their numerators.
\frac{9}{60}
Add 4 and 5 to get 9.
\frac{3}{20}
Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.