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\frac{1}{2}\times \frac{10}{11}
Divide \frac{1}{2} by \frac{11}{10} by multiplying \frac{1}{2} by the reciprocal of \frac{11}{10}.
\frac{1\times 10}{2\times 11}
Multiply \frac{1}{2} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.
\frac{10}{22}
Do the multiplications in the fraction \frac{1\times 10}{2\times 11}.
\frac{5}{11}
Reduce the fraction \frac{10}{22} to lowest terms by extracting and canceling out 2.