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x=\frac{8}{3}\times \frac{9}{4}
Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.
x=\frac{8\times 9}{3\times 4}
Multiply \frac{8}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
x=\frac{72}{12}
Do the multiplications in the fraction \frac{8\times 9}{3\times 4}.
x=6
Divide 72 by 12 to get 6.