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\frac{1}{3}+\frac{3}{30}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.
\frac{1}{3}+\frac{1}{10}
Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.
\frac{10}{30}+\frac{3}{30}
Least common multiple of 3 and 10 is 30. Convert \frac{1}{3} and \frac{1}{10} to fractions with denominator 30.
\frac{10+3}{30}
Since \frac{10}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.
\frac{13}{30}
Add 10 and 3 to get 13.