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\frac{1}{5}\times \frac{\sqrt{5}}{\sqrt{16}}
Rewrite the square root of the division \sqrt{\frac{5}{16}} as the division of square roots \frac{\sqrt{5}}{\sqrt{16}}.
\frac{1}{5}\times \frac{\sqrt{5}}{4}
Calculate the square root of 16 and get 4.
\frac{\sqrt{5}}{5\times 4}
Multiply \frac{1}{5} times \frac{\sqrt{5}}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{\sqrt{5}}{20}
Multiply 5 and 4 to get 20.