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\frac{1}{\sqrt{3}\times 3}
Express \frac{\frac{1}{\sqrt{3}}}{3} as a single fraction.
\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times 3}
Rationalize the denominator of \frac{1}{\sqrt{3}\times 3} by multiplying numerator and denominator by \sqrt{3}.
\frac{\sqrt{3}}{3\times 3}
The square of \sqrt{3} is 3.
\frac{\sqrt{3}}{9}
Multiply 3 and 3 to get 9.