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