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\frac{5}{12}-\frac{2}{12}
Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{1}{6} to fractions with denominator 12.
\frac{5-2}{12}
Since \frac{5}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{12}
Subtract 2 from 5 to get 3.
\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.