What is $\frac{1}{4}\%$ of 120? Express your answer as a decimal.
We have $$\frac14\%\times120=\frac{\frac14}{100}\times120=\frac{1}{400}\times120=\frac{12}{40}=\frac{3}{10}=\boxed{.3}.$$
.3
Level 2
Algebra
Problem: What is $\frac{1}{4}\%$ of 120? Express your answer as a decimal.
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find $\frac{1}{4}\%$ of 120, first convert the percentage to a decimal. The percentage $\frac{1}{4}\%$ can be expressed as $\frac{1}{4} \div 100$. 

Calculating this gives:
$\frac{1}{4} = 0.25$, so $\frac{1}{4}\% = 0.25 \div 100 = 0.0025$.

Next, multiply this decimal by 120 to find the desired value:
$0.0025 \times 120$.

Performing the multiplication:
$0.0025 \times 120 = 0.3$.

Thus, the final answer is $.3$.<|END_OF_LATENT|> The final answer is $.3$.