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\frac{1}{10}\times \frac{5}{6}
Divide \frac{1}{10} by \frac{6}{5} by multiplying \frac{1}{10} by the reciprocal of \frac{6}{5}.
\frac{1\times 5}{10\times 6}
Multiply \frac{1}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{60}
Do the multiplications in the fraction \frac{1\times 5}{10\times 6}.
\frac{1}{12}
Reduce the fraction \frac{5}{60} to lowest terms by extracting and canceling out 5.