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\frac{13}{24}-\frac{4}{24}
Least common multiple of 24 and 6 is 24. Convert \frac{13}{24} and \frac{1}{6} to fractions with denominator 24.
\frac{13-4}{24}
Since \frac{13}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{9}{24}
Subtract 4 from 13 to get 9.
\frac{3}{8}
Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.