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\frac{25}{30}+\frac{2}{30}
Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{1}{15} to fractions with denominator 30.
\frac{25+2}{30}
Since \frac{25}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.
\frac{27}{30}
Add 25 and 2 to get 27.
\frac{9}{10}
Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.