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