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\frac{1}{2}\times \frac{9}{4}
Divide \frac{1}{2} by \frac{4}{9} by multiplying \frac{1}{2} by the reciprocal of \frac{4}{9}.
\frac{1\times 9}{2\times 4}
Multiply \frac{1}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{8}
Do the multiplications in the fraction \frac{1\times 9}{2\times 4}.