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\frac{23}{6}-\frac{2}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{23}{6} and \frac{1}{3} to fractions with denominator 6.
\frac{23-2}{6}
Since \frac{23}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{21}{6}
Subtract 2 from 23 to get 21.
\frac{7}{2}
Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.