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\frac{3}{30}+\frac{1}{30}
Least common multiple of 10 and 30 is 30. Convert \frac{1}{10} and \frac{1}{30} to fractions with denominator 30.
\frac{3+1}{30}
Since \frac{3}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.
\frac{4}{30}
Add 3 and 1 to get 4.
\frac{2}{15}
Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.