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\frac{9}{4}-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.
\frac{27}{12}-\frac{4}{12}
Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{1}{3} to fractions with denominator 12.
\frac{27-4}{12}
Since \frac{27}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{23}{12}
Subtract 4 from 27 to get 23.