State true or false:

$\frac{1}{2}$ is an equivalent ratio of $\frac{100}{200}$.

The given statement is true.

Two ratios are said to be equivalent if any one of the ratios can be expressed as a multiple of the other. Some examples of equivalent ratios are 1:2 and 3:6, 4:5 and 12:15, etc.

The given ratios are  $\frac{1}{2}$ and $\frac{100}{200}$.

Now, by multiplying, the numerator and denominator of $\frac{1}{2}$with 100 we get,

 $\frac{1}{2}=\frac{1\times 100}{ 2\times 100}$

$=\frac{100}{200}$

Therefore,  the given statement is true.