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\frac{5}{\sqrt{5}\times 10}
Express \frac{\frac{5}{\sqrt{5}}}{10} as a single fraction.
\frac{5\sqrt{5}}{\left(\sqrt{5}\right)^{2}\times 10}
Rationalize the denominator of \frac{5}{\sqrt{5}\times 10} by multiplying numerator and denominator by \sqrt{5}.
\frac{5\sqrt{5}}{5\times 10}
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{10}
Cancel out 5 in both numerator and denominator.