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\frac{1}{6}+\frac{2}{6}+\frac{1}{2}
Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{1}{3} to fractions with denominator 6.
\frac{1+2}{6}+\frac{1}{2}
Since \frac{1}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.
\frac{3}{6}+\frac{1}{2}
Add 1 and 2 to get 3.
\frac{1}{2}+\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
\frac{1+1}{2}
Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2}{2}
Add 1 and 1 to get 2.
1
Divide 2 by 2 to get 1.