1/20 is what percentage of 10/40?

`. Let's carefully construct the output tags: 20%

The correct option is 20%.

To find what percentage one number (or fraction) is of another, we use the formula:

$\text{Percentage}=\left(\frac{\text{First Value}}{\text{Second Value}}\right)\times 100$

Here, the first value is $\frac{1}{20}$ and the second value is $\frac{10}{40}$.

Step 1: Simplify the second fraction.
The fraction $\frac{10}{40}$ can be simplified by dividing both the numerator and denominator by 10:

$\frac{10}{40}=\frac{1}{4}$

Step 2: Set up the ratio of the two fractions.
Now, divide $\frac{1}{20}$ by $\frac{1}{4}$:

$\frac{1/20}{1/4}=\frac{1}{20}\times \frac{4}{1}$

Multiplying the numerator and denominator gives:

$\frac{1\times 4}{20\times 1}=\frac{4}{20}=\frac{1}{5}$

Step 3: Convert the fraction into a percentage.
Multiply $\frac{1}{5}$ by 100:

$\text{Percentage}=\frac{1}{5}\times 100=20\%$

Thus, $\frac{1}{20}$ is 20% of $\frac{10}{40}$.