The fraction equivalent to $\frac{2}{5}$% is

Concept & Formula To convert any percentage to a fraction, you must divide the given numerical value by 100. The percentage symbol ($\%$) mathematically represents $\frac{1}{100}$. $$x\% = \frac{x}{100}$$ Step-by-Step Solution * Given: The percentage value is $\frac{2}{5}$%. * Substitute the percentage symbol with multiplication by $\frac{1}{100}$: $$\frac{2}{5} \times \frac{1}{100}$$ * Simplify the fraction by canceling the common factor of 2 in the numerator and 100 in the denominator: $$\frac{1}{5} \times \frac{1}{50}$$ * Multiply the denominators together: $$\frac{1}{250}$$ Exam Strategy & Shortcut Instead of writing out the multiplication steps, directly multiply the denominator of the given fraction by 100. For $\frac{2}{5}\%$, mentally calculate $\frac{2}{500}$ and simplify it instantly to $\frac{1}{250}$. Common Pitfall A major mistake is treating $\frac{2}{5}$% simply as $\frac{2}{5}$ and ignoring the percentage sign entirely, leading to wildly incorrect numerical assumptions. Always remember that a percent is a ratio out of 100. Final Answer Therefore, the correct answer is **$\frac{1}{250}$**.