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\frac{1\times 4}{2\times 3}\times \frac{9}{4}\times \frac{16}{5}
Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{6}\times \frac{9}{4}\times \frac{16}{5}
Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.
\frac{2}{3}\times \frac{9}{4}\times \frac{16}{5}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{2\times 9}{3\times 4}\times \frac{16}{5}
Multiply \frac{2}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{12}\times \frac{16}{5}
Do the multiplications in the fraction \frac{2\times 9}{3\times 4}.
\frac{3}{2}\times \frac{16}{5}
Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.
\frac{3\times 16}{2\times 5}
Multiply \frac{3}{2} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{48}{10}
Do the multiplications in the fraction \frac{3\times 16}{2\times 5}.
\frac{24}{5}
Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.