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