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11000\times \frac{6}{11}
Divide 11000 by \frac{11}{6} by multiplying 11000 by the reciprocal of \frac{11}{6}.
\frac{11000\times 6}{11}
Express 11000\times \frac{6}{11} as a single fraction.
\frac{66000}{11}
Multiply 11000 and 6 to get 66000.
6000
Divide 66000 by 11 to get 6000.