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