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\frac{15}{21}+\frac{14}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{5}{7} and \frac{2}{3} to fractions with denominator 21.
\frac{15+14}{21}
Since \frac{15}{21} and \frac{14}{21} have the same denominator, add them by adding their numerators.
\frac{29}{21}
Add 15 and 14 to get 29.