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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 can follow these steps:

1. Understand the fraction: The fraction [tex]\(\frac{2}{3}\)[/tex] means 2 divided by 3.

2. Convert to a decimal: Divide 2 by 3. This gives you approximately 0.666666...

3. Convert the decimal to a percent: To convert a decimal to a percent, multiply by 100. So, 0.666666... multiplied by 100 gives you 66.6666...

4. Express as a percentage: 66.6666...% is equivalent to 66 and [tex]\(\frac{2}{3}\)[/tex]% because the repeating decimal 0.6666... is equivalent to [tex]\(\frac{2}{3}\)[/tex] when expressed as a fraction.

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

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