Evaluate
\frac{2\sqrt{5}}{25}\approx 0.178885438
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\frac{2}{5\sqrt{5}}
Divide 1 by \frac{5\sqrt{5}}{2} by multiplying 1 by the reciprocal of \frac{5\sqrt{5}}{2}.
\frac{2\sqrt{5}}{5\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{2}{5\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{2\sqrt{5}}{5\times 5}
The square of \sqrt{5} is 5.
\frac{2\sqrt{5}}{25}
Multiply 5 and 5 to get 25.
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