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\frac{1}{2}+\frac{3}{21}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.
\frac{1}{2}+\frac{1}{7}
Reduce the fraction \frac{3}{21} to lowest terms by extracting and canceling out 3.
\frac{7}{14}+\frac{2}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{1}{7} to fractions with denominator 14.
\frac{7+2}{14}
Since \frac{7}{14} and \frac{2}{14} have the same denominator, add them by adding their numerators.
\frac{9}{14}
Add 7 and 2 to get 9.