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\frac{6}{14}+\frac{1}{14}
Least common multiple of 7 and 14 is 14. Convert \frac{3}{7} and \frac{1}{14} to fractions with denominator 14.
\frac{6+1}{14}
Since \frac{6}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.
\frac{7}{14}
Add 6 and 1 to get 7.
\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.