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\frac{4}{7}\times \frac{3}{2}
Divide \frac{4}{7} by \frac{2}{3} by multiplying \frac{4}{7} by the reciprocal of \frac{2}{3}.
\frac{4\times 3}{7\times 2}
Multiply \frac{4}{7} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{14}
Do the multiplications in the fraction \frac{4\times 3}{7\times 2}.
\frac{6}{7}
Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.