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\frac{1}{6}+\frac{3}{6}-\frac{2}{3}
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}-\frac{2}{3}
Since \frac{1}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.
\frac{4}{6}-\frac{2}{3}
Add 1 and 3 to get 4.
\frac{2}{3}-\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
0
Subtract \frac{2}{3} from \frac{2}{3} to get 0.