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\frac{9}{24}-\frac{4}{24}
Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{1}{6} to fractions with denominator 24.
\frac{9-4}{24}
Since \frac{9}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{24}
Subtract 4 from 9 to get 5.