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

A. [tex]$66 \frac{1}{3} \%$[/tex]

B. [tex][tex]$66 \frac{3}{5} \%$[/tex][/tex]

C. [tex]$66 \frac{2}{3} \%$[/tex]

D. [tex]$66 \frac{7}{10} \%$[/tex]

Answer :

To find the percentage equivalent of the fraction [tex]\(\frac{2}{3}\)[/tex], we need to convert this fraction to a percentage.

Here is how you do it step by step:

1. Divide the Numerator by the Denominator:
- [tex]\(\frac{2}{3} = 0.666666...\)[/tex]

2. Convert to a Percentage:
- Multiply the result by 100 to change it from a decimal to a percentage.
- [tex]\(0.666666... \times 100 = 66.666666...\)[/tex]

3. Express as a Mixed Number:
- The decimal part 0.666666... can be expressed as a repeating fraction [tex]\(\frac{2}{3}\)[/tex].
- This gives us [tex]\(66 \frac{2}{3}\%\)[/tex].

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