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\frac{5}{10}-\frac{1}{10}=\frac{1}{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}=\frac{1}{10}-\frac{1}{10}
Since \frac{5}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{10}=\frac{1}{10}-\frac{1}{10}
Subtract 1 from 5 to get 4.
\frac{2}{5}=\frac{1}{10}-\frac{1}{10}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{2}{5}=0
Subtract \frac{1}{10} from \frac{1}{10} to get 0.
\text{false}
Compare \frac{2}{5} and 0.