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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]56 \frac{7}{10} \%[/tex]

Answer :

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

1. Convert the fraction to a decimal:
To do this, divide the numerator (2) by the denominator (3). This gives you the decimal 0.6666... (repeating).

2. Convert the decimal to a percentage:
To convert a decimal to a percentage, multiply it by 100. So, multiply 0.6666... by 100. This results in 66.6666... percent.

3. Express the repeating decimal as a fraction:
The decimal 0.6666... repeating is equivalent to [tex]\(\frac{2}{3}\)[/tex] of 100, which simplifies to [tex]\(66 \frac{2}{3}\%\)[/tex].

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

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