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\frac{1}{12}\times \frac{9}{4}
Divide \frac{1}{12} by \frac{4}{9} by multiplying \frac{1}{12} by the reciprocal of \frac{4}{9}.
\frac{1\times 9}{12\times 4}
Multiply \frac{1}{12} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{48}
Do the multiplications in the fraction \frac{1\times 9}{12\times 4}.
\frac{3}{16}
Reduce the fraction \frac{9}{48} to lowest terms by extracting and canceling out 3.