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\frac{\sqrt{5}\sqrt{5}}{5\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{5}}{5\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{5}\sqrt{5}}{5\times 5}
The square of \sqrt{5} is 5.
\frac{5}{5\times 5}
Multiply \sqrt{5} and \sqrt{5} to get 5.
\frac{5}{25}
Multiply 5 and 5 to get 25.
\frac{1}{5}
Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.