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\frac{3}{4}+\frac{3}{2}\times \frac{9}{4}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{4}+\frac{3\times 9}{2\times 4}
Multiply \frac{3}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{4}+\frac{27}{8}
Do the multiplications in the fraction \frac{3\times 9}{2\times 4}.
\frac{6}{8}+\frac{27}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{27}{8} to fractions with denominator 8.
\frac{6+27}{8}
Since \frac{6}{8} and \frac{27}{8} have the same denominator, add them by adding their numerators.
\frac{33}{8}
Add 6 and 27 to get 33.