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\frac{5}{3\sqrt{5}}
Express \frac{\frac{5}{3}}{\sqrt{5}} as a single fraction.
\frac{5\sqrt{5}}{3\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{5}{3\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{5\sqrt{5}}{3\times 5}
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{3}
Cancel out 5 in both numerator and denominator.