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1-\frac{1}{2}\times \frac{2}{3}
Cancel out 24 and 24.
1-\frac{1\times 2}{2\times 3}
Multiply \frac{1}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
1-\frac{1}{3}
Cancel out 2 in both numerator and denominator.
\frac{3}{3}-\frac{1}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{3-1}{3}
Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{3}
Subtract 1 from 3 to get 2.