The fraction equivalent to `2/5%` is___

Options

A. `1/40`
B. `1/125`
C. `1/250`
D. `1/500`

Answer

To find the fraction equivalent to \( \frac{2}{5}\% \), we can follow these steps:

### Step 1: Convert the percentage to a fraction
The percentage \( \frac{2}{5}\% \) can be expressed as:
\[ \frac{2}{5} \times \frac{1}{100} \]
This is because percent means per hundred.

### Step 2: Multiply the fractions
Now we will multiply the fractions:
\[ \frac{2}{5} \times \frac{1}{100} = \frac{2 \times 1}{5 \times 100} = \frac{2}{500} \]

### Step 3: Simplify the fraction
Next, we simplify \( \frac{2}{500} \):
\[ \frac{2}{500} = \frac{1}{250} \]
This is done by dividing both the numerator and the denominator by 2.

### Final Answer
Thus, the fraction equivalent to \( \frac{2}{5}\% \) is:
\[ \frac{1}{250} \]

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