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71.5\times \frac{3}{2}
Divide 71.5 by \frac{2}{3} by multiplying 71.5 by the reciprocal of \frac{2}{3}.
\frac{143}{2}\times \frac{3}{2}
Convert decimal number 71.5 to fraction \frac{715}{10}. Reduce the fraction \frac{715}{10} to lowest terms by extracting and canceling out 5.
\frac{143\times 3}{2\times 2}
Multiply \frac{143}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{429}{4}
Do the multiplications in the fraction \frac{143\times 3}{2\times 2}.