Answer :
To find what percent is equivalent to [tex]\(\frac{2}{3}\)[/tex], you 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: Percentages are a way of expressing a number as a fraction of 100. So, to convert a fraction into a percentage, you multiply it by 100.
2. Convert [tex]\(\frac{2}{3}\)[/tex] to a decimal: Divide the numerator (2) by the denominator (3) to get a decimal.
[tex]\[
\frac{2}{3} \approx 0.6666666\ldots
\][/tex]
This is a repeating decimal where 6 repeats indefinitely.
3. Convert the decimal to a percentage: Multiply the decimal by 100 to convert it into a percentage.
[tex]\[
0.6666666\ldots \times 100 \approx 66.6666666\ldots
\][/tex]
4. Express the result as a percentage with a fraction: When you have a repeating decimal, you can express it in a simpler form. In this case, [tex]\(66.6666666\ldots\)[/tex] can be expressed as [tex]\(66 \frac{2}{3} \%\)[/tex].
This means that the correct answer to the question is [tex]\(66 \frac{2}{3} \%\)[/tex].
1. Understand the relationship between fractions and percentages: Percentages are a way of expressing a number as a fraction of 100. So, to convert a fraction into a percentage, you multiply it by 100.
2. Convert [tex]\(\frac{2}{3}\)[/tex] to a decimal: Divide the numerator (2) by the denominator (3) to get a decimal.
[tex]\[
\frac{2}{3} \approx 0.6666666\ldots
\][/tex]
This is a repeating decimal where 6 repeats indefinitely.
3. Convert the decimal to a percentage: Multiply the decimal by 100 to convert it into a percentage.
[tex]\[
0.6666666\ldots \times 100 \approx 66.6666666\ldots
\][/tex]
4. Express the result as a percentage with a fraction: When you have a repeating decimal, you can express it in a simpler form. In this case, [tex]\(66.6666666\ldots\)[/tex] can be expressed as [tex]\(66 \frac{2}{3} \%\)[/tex].
This means that the correct answer to the question is [tex]\(66 \frac{2}{3} \%\)[/tex].
