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