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\frac{27}{2}\times \frac{7}{3}
Divide \frac{27}{2} by \frac{3}{7} by multiplying \frac{27}{2} by the reciprocal of \frac{3}{7}.
\frac{27\times 7}{2\times 3}
Multiply \frac{27}{2} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{189}{6}
Do the multiplications in the fraction \frac{27\times 7}{2\times 3}.
\frac{63}{2}
Reduce the fraction \frac{189}{6} to lowest terms by extracting and canceling out 3.