Which of the following percentages is equivalent to the fraction below?
5/8
A.
1.6%
B.
6.25%
C.
62.5%
D.
160%
The correct answer and Explanation is :
To find the percentage equivalent of the fraction ( \frac{5}{8} ), you need to convert the fraction into a percentage. Here’s a step-by-step explanation:
- Understanding the Conversion:
- A percentage is a way of expressing a number as a fraction of 100. To convert a fraction to a percentage, you multiply the fraction by 100%.
- Performing the Calculation:
- Start with the fraction ( \frac{5}{8} ).
- To convert ( \frac{5}{8} ) to a percentage, multiply it by 100%.
- Step-by-Step Calculation:
- First, divide the numerator by the denominator: ( \frac{5}{8} \approx 0.625 ).
- Then, multiply this decimal by 100 to convert it to a percentage: ( 0.625 \times 100 = 62.5\% ).
- Verification:
- To ensure accuracy, let’s check the conversion step-by-step.
- When ( \frac{5}{8} ) is divided, it equals 0.625.
- Multiplying 0.625 by 100 gives 62.5.
- Therefore, ( \frac{5}{8} ) is indeed 62.5%.
- Choosing the Correct Option:
- Among the given options:
- A. 1.6% is too low.
- B. 6.25% is also too low.
- C. 62.5% matches the result of our calculation.
- D. 160% is too high.
Thus, the correct answer is C. 62.5%.