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\frac{35}{15}+\frac{1}{15}
Least common multiple of 3 and 15 is 15. Convert \frac{7}{3} and \frac{1}{15} to fractions with denominator 15.
\frac{35+1}{15}
Since \frac{35}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.
\frac{36}{15}
Add 35 and 1 to get 36.
\frac{12}{5}
Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.