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\frac{5}{6}-\frac{1}{2}\times \frac{2+1}{2}
Multiply 1 and 2 to get 2.
\frac{5}{6}-\frac{1}{2}\times \frac{3}{2}
Add 2 and 1 to get 3.
\frac{5}{6}-\frac{1\times 3}{2\times 2}
Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{6}-\frac{3}{4}
Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.
\frac{10}{12}-\frac{9}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.
\frac{10-9}{12}
Since \frac{10}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{12}
Subtract 9 from 10 to get 1.