#### Answer

$\frac{1}{200}=.005=.5$%

#### Work Step by Step

We are given the fraction $\frac{1}{200}$.
We know that $\frac{1}{200}=1\div200=(1\times5)\div(200\times5)=5\div1000=.005$
To write $\frac{1}{200}$ as a percentage, we can set $\frac{1}{200}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p.
$\frac{1}{200}=\frac{p}{100}$
$1\times100=200\times p$
$100=200p$
Divide both sides by 200.
$p=.5$%
Therefore, $\frac{1}{200}=.005=.5$%.