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\frac{3\times 9}{4\times 12}
Divide \frac{3}{4} by \frac{12}{9} by multiplying \frac{3}{4} by the reciprocal of \frac{12}{9}.
\frac{9}{4\times 4}
Cancel out 3 in both numerator and denominator.
\frac{9}{16}
Multiply 4 and 4 to get 16.