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\frac{1}{6}\times \frac{5}{6}\times \frac{9}{25}
Reduce the fraction \frac{15}{18} to lowest terms by extracting and canceling out 3.
\frac{1\times 5}{6\times 6}\times \frac{9}{25}
Multiply \frac{1}{6} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{36}\times \frac{9}{25}
Do the multiplications in the fraction \frac{1\times 5}{6\times 6}.
\frac{5\times 9}{36\times 25}
Multiply \frac{5}{36} times \frac{9}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{45}{900}
Do the multiplications in the fraction \frac{5\times 9}{36\times 25}.
\frac{1}{20}
Reduce the fraction \frac{45}{900} to lowest terms by extracting and canceling out 45.