College

What percent is equivalent to [tex]\frac{2}{3}[/tex]?

A. [tex]66 \frac{1}{3} \%[/tex]
B. [tex]66 \frac{3}{5} \%[/tex]
C. [tex]66 \frac{2}{3} \%[/tex]
D. [tex]66 \frac{7}{10} \%[/tex]

Answer :

To determine what percent is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex], you can follow these steps:

1. Understand the Conversion: To convert a fraction to a percentage, you multiply the fraction by 100. This is because "percent" means "per hundred."

2. Perform the Calculation: Multiply [tex]\(\frac{2}{3}\)[/tex] by 100.
[tex]\[
\frac{2}{3} \times 100 = \frac{200}{3} = 66.6666\ldots
\][/tex]

3. Simplifying the Result: The result [tex]\(66.6666\ldots\)[/tex] is a repeating decimal, which can be rounded to [tex]\(66 \frac{2}{3} \%\)[/tex] for practical purposes.

Therefore, the percentage equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3} \%\)[/tex].