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\frac{160}{9}\times \frac{6}{71}
Divide \frac{160}{9} by \frac{71}{6} by multiplying \frac{160}{9} by the reciprocal of \frac{71}{6}.
\frac{160\times 6}{9\times 71}
Multiply \frac{160}{9} times \frac{6}{71} by multiplying numerator times numerator and denominator times denominator.
\frac{960}{639}
Do the multiplications in the fraction \frac{160\times 6}{9\times 71}.
\frac{320}{213}
Reduce the fraction \frac{960}{639} to lowest terms by extracting and canceling out 3.