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\frac{2}{10}+\frac{3}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.
\frac{2+3}{10}
Since \frac{2}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.
\frac{5}{10}
Add 2 and 3 to get 5.
\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.