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\frac{4}{60}+\frac{3}{60}
Least common multiple of 15 and 20 is 60. Convert \frac{1}{15} and \frac{1}{20} to fractions with denominator 60.
\frac{4+3}{60}
Since \frac{4}{60} and \frac{3}{60} have the same denominator, add them by adding their numerators.
\frac{7}{60}
Add 4 and 3 to get 7.