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\frac{9\times 16}{2\times 5}\times \frac{1}{3}
Multiply \frac{9}{2} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{144}{10}\times \frac{1}{3}
Do the multiplications in the fraction \frac{9\times 16}{2\times 5}.
\frac{72}{5}\times \frac{1}{3}
Reduce the fraction \frac{144}{10} to lowest terms by extracting and canceling out 2.
\frac{72\times 1}{5\times 3}
Multiply \frac{72}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{72}{15}
Do the multiplications in the fraction \frac{72\times 1}{5\times 3}.
\frac{24}{5}
Reduce the fraction \frac{72}{15} to lowest terms by extracting and canceling out 3.