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\frac{2}{12}+\frac{7}{12}
Least common multiple of 6 and 12 is 12. Convert \frac{1}{6} and \frac{7}{12} to fractions with denominator 12.
\frac{2+7}{12}
Since \frac{2}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.
\frac{9}{12}
Add 2 and 7 to get 9.
\frac{3}{4}
Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.