Answer :
To find what percent [tex]\(\frac{2}{3}\)[/tex] is equivalent to, follow these steps:
1. Understand the Fraction:
The fraction given is [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Fraction to a Percentage:
To convert a fraction to a percentage, multiply it by 100.
[tex]\[
\frac{2}{3} \times 100 = 66.6666\ldots
\][/tex]
This is a repeating decimal, meaning it goes on indefinitely. This repeating decimal is equivalent to two-thirds.
3. Express as a Mixed Number:
The repeating decimal 66.6666... can be expressed as a mixed number in percentage form. This is done by recognizing that it can be written as:
[tex]\[
66 \frac{2}{3} \%
\][/tex]
This means 66 whole parts and [tex]\(\frac{2}{3}\)[/tex] of another part, making up the repeated decimal.
So, [tex]\(\frac{2}{3}\)[/tex] as a percentage is equivalent to [tex]\(66 \frac{2}{3} \%\)[/tex]. This makes the correct choice:
- [tex]\(66 \frac{2}{3} \%\)[/tex]
1. Understand the Fraction:
The fraction given is [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Fraction to a Percentage:
To convert a fraction to a percentage, multiply it by 100.
[tex]\[
\frac{2}{3} \times 100 = 66.6666\ldots
\][/tex]
This is a repeating decimal, meaning it goes on indefinitely. This repeating decimal is equivalent to two-thirds.
3. Express as a Mixed Number:
The repeating decimal 66.6666... can be expressed as a mixed number in percentage form. This is done by recognizing that it can be written as:
[tex]\[
66 \frac{2}{3} \%
\][/tex]
This means 66 whole parts and [tex]\(\frac{2}{3}\)[/tex] of another part, making up the repeated decimal.
So, [tex]\(\frac{2}{3}\)[/tex] as a percentage is equivalent to [tex]\(66 \frac{2}{3} \%\)[/tex]. This makes the correct choice:
- [tex]\(66 \frac{2}{3} \%\)[/tex]
