Answer :
To find the percentage equivalent of the fraction [tex]\(\frac{2}{3}\)[/tex], we need to convert this fraction to a percentage.
Here is how you do it step by step:
1. Divide the Numerator by the Denominator:
- [tex]\(\frac{2}{3} = 0.666666...\)[/tex]
2. Convert to a Percentage:
- Multiply the result by 100 to change it from a decimal to a percentage.
- [tex]\(0.666666... \times 100 = 66.666666...\)[/tex]
3. Express as a Mixed Number:
- The decimal part 0.666666... can be expressed as a repeating fraction [tex]\(\frac{2}{3}\)[/tex].
- This gives us [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the percentage equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].
Here is how you do it step by step:
1. Divide the Numerator by the Denominator:
- [tex]\(\frac{2}{3} = 0.666666...\)[/tex]
2. Convert to a Percentage:
- Multiply the result by 100 to change it from a decimal to a percentage.
- [tex]\(0.666666... \times 100 = 66.666666...\)[/tex]
3. Express as a Mixed Number:
- The decimal part 0.666666... can be expressed as a repeating fraction [tex]\(\frac{2}{3}\)[/tex].
- This gives us [tex]\(66 \frac{2}{3}\%\)[/tex].
Therefore, the percentage equivalent to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].