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\frac{3+2}{3}-\frac{1\times 6+1}{6}
Multiply 1 and 3 to get 3.
\frac{5}{3}-\frac{1\times 6+1}{6}
Add 3 and 2 to get 5.
\frac{5}{3}-\frac{6+1}{6}
Multiply 1 and 6 to get 6.
\frac{5}{3}-\frac{7}{6}
Add 6 and 1 to get 7.
\frac{10}{6}-\frac{7}{6}
Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{7}{6} to fractions with denominator 6.
\frac{10-7}{6}
Since \frac{10}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{6}
Subtract 7 from 10 to get 3.
\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.