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\frac{2+1}{2}-\frac{1}{6}
Multiply 1 and 2 to get 2.
\frac{3}{2}-\frac{1}{6}
Add 2 and 1 to get 3.
\frac{9}{6}-\frac{1}{6}
Least common multiple of 2 and 6 is 6. Convert \frac{3}{2} and \frac{1}{6} to fractions with denominator 6.
\frac{9-1}{6}
Since \frac{9}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{6}
Subtract 1 from 9 to get 8.
\frac{4}{3}
Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.