Answer :
To find the percent equivalent of the fraction [tex]\(\frac{2}{3}\)[/tex], follow these steps:
1. Understand the Problem: You need to convert the fraction [tex]\(\frac{2}{3}\)[/tex] into a percentage.
2. Convert the Fraction to a Decimal: Divide the numerator (2) by the denominator (3) to get the decimal form of the fraction.
[tex]\[
\frac{2}{3} = 0.6666\ldots
\][/tex]
3. Convert the Decimal to a Percentage: Multiply the decimal by 100 to change it into a percentage.
[tex]\[
0.6666\ldots \times 100 = 66.6666\ldots\%
\][/tex]
4. Simplify the Percentage: Recognize that the repeating decimal 0.6666... is equivalent to [tex]\(\frac{2}{3}\)[/tex], thus as a percentage, it is [tex]\(\frac{2}{3}\% = 66 \frac{2}{3}\%\)[/tex].
Therefore, the correct answer from the given options is [tex]\(66 \frac{2}{3}\%\)[/tex].
1. Understand the Problem: You need to convert the fraction [tex]\(\frac{2}{3}\)[/tex] into a percentage.
2. Convert the Fraction to a Decimal: Divide the numerator (2) by the denominator (3) to get the decimal form of the fraction.
[tex]\[
\frac{2}{3} = 0.6666\ldots
\][/tex]
3. Convert the Decimal to a Percentage: Multiply the decimal by 100 to change it into a percentage.
[tex]\[
0.6666\ldots \times 100 = 66.6666\ldots\%
\][/tex]
4. Simplify the Percentage: Recognize that the repeating decimal 0.6666... is equivalent to [tex]\(\frac{2}{3}\)[/tex], thus as a percentage, it is [tex]\(\frac{2}{3}\% = 66 \frac{2}{3}\%\)[/tex].
Therefore, the correct answer from the given options is [tex]\(66 \frac{2}{3}\%\)[/tex].
