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\frac{24+1}{6}-\frac{1}{2}\times 9
Multiply 4 and 6 to get 24.
\frac{25}{6}-\frac{1}{2}\times 9
Add 24 and 1 to get 25.
\frac{25}{6}-\frac{9}{2}
Multiply \frac{1}{2} and 9 to get \frac{9}{2}.
\frac{25}{6}-\frac{27}{6}
Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{9}{2} to fractions with denominator 6.
\frac{25-27}{6}
Since \frac{25}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{-2}{6}
Subtract 27 from 25 to get -2.
-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.