Answer :
To convert the fraction [tex]\(\frac{2}{3}\)[/tex] into a percentage, follow these steps:
1. Understand the Concept: A percentage is a way of expressing a number as a fraction of 100. To convert a fraction to a percentage, you multiply it by 100.
2. Perform the Calculation:
- Take the fraction [tex]\(\frac{2}{3}\)[/tex].
- Multiply it by 100 to find the percentage equivalent:
[tex]\[
\frac{2}{3} \times 100 = 66.6666666\ldots
\][/tex]
3. Determine the Correct Percentage:
- The result, 66.6666666..., is a repeating decimal that can be exactly expressed as [tex]\(66 \frac{2}{3}\%\)[/tex].
So, the fraction [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the correct option is [tex]\(66 \frac{2}{3}\%\)[/tex].
1. Understand the Concept: A percentage is a way of expressing a number as a fraction of 100. To convert a fraction to a percentage, you multiply it by 100.
2. Perform the Calculation:
- Take the fraction [tex]\(\frac{2}{3}\)[/tex].
- Multiply it by 100 to find the percentage equivalent:
[tex]\[
\frac{2}{3} \times 100 = 66.6666666\ldots
\][/tex]
3. Determine the Correct Percentage:
- The result, 66.6666666..., is a repeating decimal that can be exactly expressed as [tex]\(66 \frac{2}{3}\%\)[/tex].
So, the fraction [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the correct option is [tex]\(66 \frac{2}{3}\%\)[/tex].
