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Which of the following percentages is equivalent to the fraction [tex]\frac{5}{8}[/tex]?

A) [tex]160 \%[/tex]
B) [tex]6.25 \%[/tex]
C) [tex]62.5 \%[/tex]
D) [tex]1.6 \%[/tex]

Answer :

To find the percentage equivalent of the fraction [tex]\( \frac{5}{8} \)[/tex], follow these steps:

1. Understand the fraction: The fraction [tex]\( \frac{5}{8} \)[/tex] represents 5 parts out of 8 total parts.

2. Convert to decimal: To convert the fraction to a decimal, divide the numerator by the denominator:
[tex]\[
\frac{5}{8} = 0.625
\][/tex]

3. Convert the decimal to a percentage: To find the percentage equivalent, multiply the decimal by 100:
[tex]\[
0.625 \times 100 = 62.5\%
\][/tex]

So, the fraction [tex]\( \frac{5}{8} \)[/tex] is equivalent to 62.5%.

Therefore, the correct answer is:

C) 62.5%

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