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\frac{9}{4}\times \frac{3}{2}=x
Divide \frac{9}{4} by \frac{2}{3} by multiplying \frac{9}{4} by the reciprocal of \frac{2}{3}.
\frac{9\times 3}{4\times 2}=x
Multiply \frac{9}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{27}{8}=x
Do the multiplications in the fraction \frac{9\times 3}{4\times 2}.
x=\frac{27}{8}
Swap sides so that all variable terms are on the left hand side.