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\frac{1}{3}\times \frac{18}{11}
Divide \frac{1}{3} by \frac{11}{18} by multiplying \frac{1}{3} by the reciprocal of \frac{11}{18}.
\frac{1\times 18}{3\times 11}
Multiply \frac{1}{3} times \frac{18}{11} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{33}
Do the multiplications in the fraction \frac{1\times 18}{3\times 11}.
\frac{6}{11}
Reduce the fraction \frac{18}{33} to lowest terms by extracting and canceling out 3.