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\frac{75}{2}\times \frac{3}{2}=x
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
\frac{75\times 3}{2\times 2}=x
Multiply \frac{75}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{225}{4}=x
Do the multiplications in the fraction \frac{75\times 3}{2\times 2}.
x=\frac{225}{4}
Swap sides so that all variable terms are on the left hand side.