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\frac{1}{2}\times \frac{3}{10}\times \frac{5}{9}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
\frac{1\times 3}{2\times 10}\times \frac{5}{9}
Multiply \frac{1}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{20}\times \frac{5}{9}
Do the multiplications in the fraction \frac{1\times 3}{2\times 10}.
\frac{3\times 5}{20\times 9}
Multiply \frac{3}{20} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{180}
Do the multiplications in the fraction \frac{3\times 5}{20\times 9}.
\frac{1}{12}
Reduce the fraction \frac{15}{180} to lowest terms by extracting and canceling out 15.