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\frac{2\times 3}{3\times 4}+\frac{1}{2}
Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{4}+\frac{1}{2}
Cancel out 3 in both numerator and denominator.
\frac{1}{2}+\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1+1}{2}
Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2}{2}
Add 1 and 1 to get 2.
1
Divide 2 by 2 to get 1.