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\frac{8}{9}\times \frac{3}{4}
Divide \frac{8}{9} by \frac{4}{3} by multiplying \frac{8}{9} by the reciprocal of \frac{4}{3}.
\frac{8\times 3}{9\times 4}
Multiply \frac{8}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{36}
Do the multiplications in the fraction \frac{8\times 3}{9\times 4}.
\frac{2}{3}
Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.