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\frac{18}{14}+\frac{3}{14}
Least common multiple of 7 and 14 is 14. Convert \frac{9}{7} and \frac{3}{14} to fractions with denominator 14.
\frac{18+3}{14}
Since \frac{18}{14} and \frac{3}{14} have the same denominator, add them by adding their numerators.
\frac{21}{14}
Add 18 and 3 to get 21.
\frac{3}{2}
Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.