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\frac{6\times 121}{11\times 117}\times \frac{13}{22}
Multiply \frac{6}{11} times \frac{121}{117} by multiplying numerator times numerator and denominator times denominator.
\frac{726}{1287}\times \frac{13}{22}
Do the multiplications in the fraction \frac{6\times 121}{11\times 117}.
\frac{22}{39}\times \frac{13}{22}
Reduce the fraction \frac{726}{1287} to lowest terms by extracting and canceling out 33.
\frac{22\times 13}{39\times 22}
Multiply \frac{22}{39} times \frac{13}{22} by multiplying numerator times numerator and denominator times denominator.
\frac{13}{39}
Cancel out 22 in both numerator and denominator.
\frac{1}{3}
Reduce the fraction \frac{13}{39} to lowest terms by extracting and canceling out 13.