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\frac{5}{10}+\frac{2}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.
\frac{5+2}{10}
Since \frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.
\frac{7}{10}
Add 5 and 2 to get 7.