Answer :
To find what percent is equivalent to the fraction [tex]\(\frac{2}{3}\)[/tex], follow these steps:
1. Convert the Fraction to a Decimal:
Divide the numerator by the denominator. For [tex]\(\frac{2}{3}\)[/tex], divide 2 by 3. This gives:
[tex]\[
2 \div 3 = 0.666666\ldots
\][/tex]
(This is a repeating decimal where 6 repeats indefinitely.)
2. Convert the Decimal to a Percentage:
To convert a decimal to a percentage, multiply it by 100. So:
[tex]\[
0.666666\ldots \times 100 = 66.6666\ldots
\][/tex]
This means that [tex]\(\frac{2}{3}\)[/tex] is approximately 66.6666...%.
3. Interpret the Repeating Decimal:
The repeating decimal 0.6666... can be expressed as [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the fraction [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex]. The correct answer is:
[tex]\[
66 \frac{2}{3} \%
\][/tex]
1. Convert the Fraction to a Decimal:
Divide the numerator by the denominator. For [tex]\(\frac{2}{3}\)[/tex], divide 2 by 3. This gives:
[tex]\[
2 \div 3 = 0.666666\ldots
\][/tex]
(This is a repeating decimal where 6 repeats indefinitely.)
2. Convert the Decimal to a Percentage:
To convert a decimal to a percentage, multiply it by 100. So:
[tex]\[
0.666666\ldots \times 100 = 66.6666\ldots
\][/tex]
This means that [tex]\(\frac{2}{3}\)[/tex] is approximately 66.6666...%.
3. Interpret the Repeating Decimal:
The repeating decimal 0.6666... can be expressed as [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the fraction [tex]\(\frac{2}{3}\)[/tex] is equivalent to [tex]\(66 \frac{2}{3}\%\)[/tex]. The correct answer is:
[tex]\[
66 \frac{2}{3} \%
\][/tex]
