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\frac{13}{6}\times \frac{9}{7}
Divide \frac{13}{6} by \frac{7}{9} by multiplying \frac{13}{6} by the reciprocal of \frac{7}{9}.
\frac{13\times 9}{6\times 7}
Multiply \frac{13}{6} times \frac{9}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{117}{42}
Do the multiplications in the fraction \frac{13\times 9}{6\times 7}.
\frac{39}{14}
Reduce the fraction \frac{117}{42} to lowest terms by extracting and canceling out 3.