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\frac{2}{14}+\frac{7}{14}
Least common multiple of 7 and 2 is 14. Convert \frac{1}{7} and \frac{1}{2} to fractions with denominator 14.
\frac{2+7}{14}
Since \frac{2}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.
\frac{9}{14}
Add 2 and 7 to get 9.