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\frac{5}{15}+\frac{7}{15}
Least common multiple of 3 and 15 is 15. Convert \frac{1}{3} and \frac{7}{15} to fractions with denominator 15.
\frac{5+7}{15}
Since \frac{5}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.
\frac{12}{15}
Add 5 and 7 to get 12.
\frac{4}{5}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.