When expressed as a fraction $64\%$ would mean
Aptitude
Percentage
Difficulty: Easy
Choose an option
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A$\frac{16}{25}$
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B$\frac{9}{64}$
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C$\frac{8}{81}$
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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 $\frac{16}{25}$.**