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\frac{15}{35}+\frac{14}{35}
Least common multiple of 7 and 5 is 35. Convert \frac{3}{7} and \frac{2}{5} to fractions with denominator 35.
\frac{15+14}{35}
Since \frac{15}{35} and \frac{14}{35} have the same denominator, add them by adding their numerators.
\frac{29}{35}
Add 15 and 14 to get 29.