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\frac{25}{30}-\frac{3}{30}
Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{1}{10} to fractions with denominator 30.
\frac{25-3}{30}
Since \frac{25}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{22}{30}
Subtract 3 from 25 to get 22.
\frac{11}{15}
Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.