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\frac{27}{30}-\frac{5}{30}
Least common multiple of 10 and 6 is 30. Convert \frac{9}{10} and \frac{1}{6} to fractions with denominator 30.
\frac{27-5}{30}
Since \frac{27}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{22}{30}
Subtract 5 from 27 to get 22.
\frac{11}{15}
Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.