$\frac{1}{0.04}$ is equal to

### Concept & Formula When dividing by a decimal, convert the decimal into a fraction or multiply both the numerator and denominator by a power of 10 to clear the decimal point. $$ 0.04 = \frac{4}{100} $$ ### Step-by-Step Solution * Convert the denominator from a decimal to a fraction: $$ 0.04 = \frac{4}{100} = \frac{1}{25} $$ * Substitute this back into the original expression: $$ \frac{1}{\frac{1}{25}} $$ * When dividing by a fraction, multiply by its reciprocal: $$ 1 \times 25 = 25 $$ ### Exam Strategy & Shortcut Memorize the fraction equivalents of common decimals. Since $0.04$ is exactly $4\%$, or $\frac{1}{25}$, dividing $1$ by $0.04$ is simply asking "how many $4$ cents are in a dollar?" The answer is instantly $25$. Alternatively, multiply top and bottom by $100$ to get $\frac{100}{4} = 25$. ### Common Pitfall A frequent mistake is moving the decimal incorrectly and calculating $\frac{10}{4} = 2.5$ or answering $\frac{1}{40}$. Always count the number of decimal places carefully—two decimal places require multiplying by $100$. ### Final Answer **Therefore, the correct answer is 25.**