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\frac{2}{30}+\frac{7}{30}
Least common multiple of 15 and 30 is 30. Convert \frac{1}{15} and \frac{7}{30} to fractions with denominator 30.
\frac{2+7}{30}
Since \frac{2}{30} and \frac{7}{30} have the same denominator, add them by adding their numerators.
\frac{9}{30}
Add 2 and 7 to get 9.
\frac{3}{10}
Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.