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\frac{24+5}{6}-\frac{2\times 2+1}{2}
Multiply 4 and 6 to get 24.
\frac{29}{6}-\frac{2\times 2+1}{2}
Add 24 and 5 to get 29.
\frac{29}{6}-\frac{4+1}{2}
Multiply 2 and 2 to get 4.
\frac{29}{6}-\frac{5}{2}
Add 4 and 1 to get 5.
\frac{29}{6}-\frac{15}{6}
Least common multiple of 6 and 2 is 6. Convert \frac{29}{6} and \frac{5}{2} to fractions with denominator 6.
\frac{29-15}{6}
Since \frac{29}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{14}{6}
Subtract 15 from 29 to get 14.
\frac{7}{3}
Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.