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\frac{27}{30}-\frac{14}{30}
Least common multiple of 10 and 15 is 30. Convert \frac{9}{10} and \frac{7}{15} to fractions with denominator 30.
\frac{27-14}{30}
Since \frac{27}{30} and \frac{14}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{13}{30}
Subtract 14 from 27 to get 13.