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\frac{9}{24}+\frac{4}{24}-\frac{7}{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}-\frac{7}{24}
Since \frac{9}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.
\frac{13}{24}-\frac{7}{24}
Add 9 and 4 to get 13.
\frac{13-7}{24}
Since \frac{13}{24} and \frac{7}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{6}{24}
Subtract 7 from 13 to get 6.
\frac{1}{4}
Reduce the fraction \frac{6}{24} to lowest terms by extracting and canceling out 6.