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\frac{16}{30}+\frac{9}{30}
Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{3}{10} to fractions with denominator 30.
\frac{16+9}{30}
Since \frac{16}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.
\frac{25}{30}
Add 16 and 9 to get 25.
\frac{5}{6}
Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.