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\frac{5}{10}+\frac{1}{10}
Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{1}{10} to fractions with denominator 10.
\frac{5+1}{10}
Since \frac{5}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
\frac{6}{10}
Add 5 and 1 to get 6.
\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.