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\frac{7}{9}\times \frac{81}{49}
Divide \frac{7}{9} by \frac{49}{81} by multiplying \frac{7}{9} by the reciprocal of \frac{49}{81}.
\frac{7\times 81}{9\times 49}
Multiply \frac{7}{9} times \frac{81}{49} by multiplying numerator times numerator and denominator times denominator.
\frac{567}{441}
Do the multiplications in the fraction \frac{7\times 81}{9\times 49}.
\frac{9}{7}
Reduce the fraction \frac{567}{441} to lowest terms by extracting and canceling out 63.