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\frac{16}{17\times \frac{16}{17}\sqrt{17}}
Express \frac{\frac{16}{17}}{\frac{16}{17}\sqrt{17}} as a single fraction.
\frac{16}{16\sqrt{17}}
Cancel out 17 and 17.
\frac{16\sqrt{17}}{16\left(\sqrt{17}\right)^{2}}
Rationalize the denominator of \frac{16}{16\sqrt{17}} by multiplying numerator and denominator by \sqrt{17}.
\frac{16\sqrt{17}}{16\times 17}
The square of \sqrt{17} is 17.
\frac{\sqrt{17}}{17}
Cancel out 16 in both numerator and denominator.