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\frac{3\times 2}{4}+3
Express \frac{3}{4}\times 2 as a single fraction.
\frac{6}{4}+3
Multiply 3 and 2 to get 6.
\frac{3}{2}+3
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}+\frac{6}{2}
Convert 3 to fraction \frac{6}{2}.
\frac{3+6}{2}
Since \frac{3}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.
\frac{9}{2}
Add 3 and 6 to get 9.