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\frac{6}{11}\times \frac{22}{5}
Divide \frac{6}{11} by \frac{5}{22} by multiplying \frac{6}{11} by the reciprocal of \frac{5}{22}.
\frac{6\times 22}{11\times 5}
Multiply \frac{6}{11} times \frac{22}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{132}{55}
Do the multiplications in the fraction \frac{6\times 22}{11\times 5}.
\frac{12}{5}
Reduce the fraction \frac{132}{55} to lowest terms by extracting and canceling out 11.