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 find what percent is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex], you multiply the fraction by 100 and simplify:

1. Start with the fraction [tex]\(\frac{2}{3}\)[/tex].

2. Multiply the fraction by 100 to convert it to a percentage:
[tex]\[
\frac{2}{3} \times 100 = 66.66666666\ldots
\][/tex]

3. The repeating decimal 66.666... is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex] when expressed as a mixed number.

Therefore, the correct answer is [tex]\(66 \frac{2}{3}\%\)[/tex].