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\frac{1}{10}\times \frac{10}{19}\times \frac{9}{18}
Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.
\frac{1\times 10}{10\times 19}\times \frac{9}{18}
Multiply \frac{1}{10} times \frac{10}{19} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{19}\times \frac{9}{18}
Cancel out 10 in both numerator and denominator.
\frac{1}{19}\times \frac{1}{2}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.
\frac{1\times 1}{19\times 2}
Multiply \frac{1}{19} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{38}
Do the multiplications in the fraction \frac{1\times 1}{19\times 2}.