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

1. Understand the fraction: A fraction like [tex]\(\frac{2}{3}\)[/tex] means you have 2 parts out of a total of 3 equal parts.

2. Convert the fraction to a decimal: Divide the numerator (2) by the denominator (3):

[tex]\[
\frac{2}{3} = 0.666666...
\][/tex]

This decimal repeats indefinitely.

3. Convert the decimal to a percentage: To convert a decimal to a percentage, multiply it by 100:

[tex]\[
0.666666... \times 100 = 66.6666...
\][/tex]

This results in approximately 66.6666...%.

4. Identify the closest fraction form: The approximate repeating decimal 66.6666...% is commonly represented as [tex]\(66 \frac{2}{3}\%\)[/tex] because:

[tex]\[
\frac{2}{3} \text{ parts of a percent is } \approx 0.666...
\][/tex]

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

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