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\frac{9}{16}\times \frac{4}{3}
Divide \frac{9}{16} by \frac{3}{4} by multiplying \frac{9}{16} by the reciprocal of \frac{3}{4}.
\frac{9\times 4}{16\times 3}
Multiply \frac{9}{16} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{36}{48}
Do the multiplications in the fraction \frac{9\times 4}{16\times 3}.
\frac{3}{4}
Reduce the fraction \frac{36}{48} to lowest terms by extracting and canceling out 12.