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\frac{1}{10}\times \frac{2}{3}
Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.
\frac{1\times 2}{10\times 3}
Multiply \frac{1}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{30}
Do the multiplications in the fraction \frac{1\times 2}{10\times 3}.
\frac{1}{15}
Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.