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x=\frac{2}{3}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{2\times 4}{3\times 3}
Multiply \frac{2}{3} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{8}{9}
Do the multiplications in the fraction \frac{2\times 4}{3\times 3}.