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\frac{3}{14}+\frac{7}{14}
Least common multiple of 14 and 2 is 14. Convert \frac{3}{14} and \frac{1}{2} to fractions with denominator 14.
\frac{3+7}{14}
Since \frac{3}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.
\frac{10}{14}
Add 3 and 7 to get 10.
\frac{5}{7}
Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.