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\frac{35}{30}+\frac{18}{30}
Least common multiple of 6 and 5 is 30. Convert \frac{7}{6} and \frac{3}{5} to fractions with denominator 30.
\frac{35+18}{30}
Since \frac{35}{30} and \frac{18}{30} have the same denominator, add them by adding their numerators.
\frac{53}{30}
Add 35 and 18 to get 53.