When expressed as a fraction $64\%$ would mean

Aptitude Percentage Difficulty: Easy
Choose an option
  • A
    $\frac{16}{25}$
  • B
    $\frac{9}{64}$
  • C
    $\frac{8}{81}$
  • D
    $\frac{12}{121}$

Answer

Correct Answer: $\frac{16}{25}$

Explanation

### Concept & Formula To convert a percentage into a fraction, divide the percentage value by 100 and simplify the resulting fraction to its lowest terms. $$ \text{Fraction} = \frac{\text{Percentage}}{100} $$ ### Step-by-Step Solution * **Given:** The percentage is $64\%$. * **Calculation:** Express the percentage as a fraction with a denominator of 100. $$ \frac{64}{100} $$ * Divide both the numerator and the denominator by their greatest common divisor, which is 4. $$ \frac{64 \div 4}{100 \div 4} $$ $$ = \frac{16}{25} $$ ### Exam Strategy & Shortcut Memorize base percentage fractions. Knowing that $4\% = \frac{1}{25}$, you can quickly scale it up. Since $64$ is $16 \times 4$, the fraction is simply $16 \times \frac{1}{25} = \frac{16}{25}$. ### Common Pitfall Failing to simplify the fraction fully. Students might divide by 2 to get $\frac{32}{50}$ and stop, assuming it is the final answer, which will not match the multiple-choice options provided. ### Final Answer **Therefore, the correct answer is $\frac{16}{25}$.**
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