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\frac{14}{21}+\frac{27}{21}
Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{9}{7} to fractions with denominator 21.
\frac{14+27}{21}
Since \frac{14}{21} and \frac{27}{21} have the same denominator, add them by adding their numerators.
\frac{41}{21}
Add 14 and 27 to get 41.