Answer :
To determine what percent is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex], we need to convert the fraction into a percentage. Here’s how you can do that step-by-step:
1. Understand the Relationship Between Fractions and Percentages:
- A percentage is a fraction out of 100. So, to convert a fraction to a percentage, you can multiply by 100.
2. Convert the Fraction to a Percentage:
- Take the fraction [tex]\(\frac{2}{3}\)[/tex] and multiply it by 100 to find its percentage equivalent:
[tex]\[
\frac{2}{3} \times 100 = \frac{200}{3} = 66.6666\ldots
\][/tex]
- This result is a repeating decimal, specifically [tex]\(66.6666\ldots\)[/tex].
3. Express the Result as a Mixed Number:
- The repeating decimal [tex]\(66.6666\ldots\)[/tex] can be expressed as the mixed number [tex]\(66 \frac{2}{3}\%\)[/tex].
4. Identify the Correct Answer:
- From the given options, the one that matches is [tex]\(66 \frac{2}{3}\%\)[/tex].
Thus, the percent equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].
1. Understand the Relationship Between Fractions and Percentages:
- A percentage is a fraction out of 100. So, to convert a fraction to a percentage, you can multiply by 100.
2. Convert the Fraction to a Percentage:
- Take the fraction [tex]\(\frac{2}{3}\)[/tex] and multiply it by 100 to find its percentage equivalent:
[tex]\[
\frac{2}{3} \times 100 = \frac{200}{3} = 66.6666\ldots
\][/tex]
- This result is a repeating decimal, specifically [tex]\(66.6666\ldots\)[/tex].
3. Express the Result as a Mixed Number:
- The repeating decimal [tex]\(66.6666\ldots\)[/tex] can be expressed as the mixed number [tex]\(66 \frac{2}{3}\%\)[/tex].
4. Identify the Correct Answer:
- From the given options, the one that matches is [tex]\(66 \frac{2}{3}\%\)[/tex].
Thus, the percent equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].
