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\frac{3}{2}\times \frac{4}{25}\times \frac{5}{9}
Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.
\frac{3\times 4}{2\times 25}\times \frac{5}{9}
Multiply \frac{3}{2} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{50}\times \frac{5}{9}
Do the multiplications in the fraction \frac{3\times 4}{2\times 25}.
\frac{6}{25}\times \frac{5}{9}
Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.
\frac{6\times 5}{25\times 9}
Multiply \frac{6}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{30}{225}
Do the multiplications in the fraction \frac{6\times 5}{25\times 9}.
\frac{2}{15}
Reduce the fraction \frac{30}{225} to lowest terms by extracting and canceling out 15.