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\frac{4\times 18}{9\times 25}\times \frac{5}{8}
Multiply \frac{4}{9} times \frac{18}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{72}{225}\times \frac{5}{8}
Do the multiplications in the fraction \frac{4\times 18}{9\times 25}.
\frac{8}{25}\times \frac{5}{8}
Reduce the fraction \frac{72}{225} to lowest terms by extracting and canceling out 9.
\frac{8\times 5}{25\times 8}
Multiply \frac{8}{25} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{25}
Cancel out 8 in both numerator and denominator.
\frac{1}{5}
Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.