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