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