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\frac{25}{30}+\frac{8}{30}
Least common multiple of 6 and 15 is 30. Convert \frac{5}{6} and \frac{4}{15} to fractions with denominator 30.
\frac{25+8}{30}
Since \frac{25}{30} and \frac{8}{30} have the same denominator, add them by adding their numerators.
\frac{33}{30}
Add 25 and 8 to get 33.
\frac{11}{10}
Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.