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\frac{4}{30}+\frac{5}{30}
Least common multiple of 15 and 6 is 30. Convert \frac{2}{15} and \frac{1}{6} to fractions with denominator 30.
\frac{4+5}{30}
Since \frac{4}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.
\frac{9}{30}
Add 4 and 5 to get 9.
\frac{3}{10}
Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.