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\frac{4\times 8}{12\times 9}
Divide \frac{4}{12} by \frac{9}{8} by multiplying \frac{4}{12} by the reciprocal of \frac{9}{8}.
\frac{8}{3\times 9}
Cancel out 4 in both numerator and denominator.
\frac{8}{27}
Multiply 3 and 9 to get 27.