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\frac{1}{11\sqrt{6}}
Express \frac{\frac{1}{11}}{\sqrt{6}} as a single fraction.
\frac{\sqrt{6}}{11\left(\sqrt{6}\right)^{2}}
Rationalize the denominator of \frac{1}{11\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.
\frac{\sqrt{6}}{11\times 6}
The square of \sqrt{6} is 6.
\frac{\sqrt{6}}{66}
Multiply 11 and 6 to get 66.