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\frac{1}{\sqrt{5}\times 5}
Express \frac{\frac{1}{\sqrt{5}}}{5} as a single fraction.
\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}\times 5}
Rationalize the denominator of \frac{1}{\sqrt{5}\times 5} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{5}}{5\times 5}
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{25}
Multiply 5 and 5 to get 25.