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\frac{21}{4}\times \frac{2}{3}
Divide \frac{21}{4} by \frac{3}{2} by multiplying \frac{21}{4} by the reciprocal of \frac{3}{2}.
\frac{21\times 2}{4\times 3}
Multiply \frac{21}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{42}{12}
Do the multiplications in the fraction \frac{21\times 2}{4\times 3}.
\frac{7}{2}
Reduce the fraction \frac{42}{12} to lowest terms by extracting and canceling out 6.