Answer :
To determine what percent is equivalent to [tex]\(\frac{2}{3}\)[/tex], follow these steps:
1. Understand the fraction: A fraction like [tex]\(\frac{2}{3}\)[/tex] means you have 2 parts out of a total of 3 equal parts.
2. Convert the fraction to a decimal: Divide the numerator (2) by the denominator (3):
[tex]\[
\frac{2}{3} = 0.666666...
\][/tex]
This decimal repeats indefinitely.
3. Convert the decimal to a percentage: To convert a decimal to a percentage, multiply it by 100:
[tex]\[
0.666666... \times 100 = 66.6666...
\][/tex]
This results in approximately 66.6666...%.
4. Identify the closest fraction form: The approximate repeating decimal 66.6666...% is commonly represented as [tex]\(66 \frac{2}{3}\%\)[/tex] because:
[tex]\[
\frac{2}{3} \text{ parts of a percent is } \approx 0.666...
\][/tex]
So, the percent equivalent of [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].
1. Understand the fraction: A fraction like [tex]\(\frac{2}{3}\)[/tex] means you have 2 parts out of a total of 3 equal parts.
2. Convert the fraction to a decimal: Divide the numerator (2) by the denominator (3):
[tex]\[
\frac{2}{3} = 0.666666...
\][/tex]
This decimal repeats indefinitely.
3. Convert the decimal to a percentage: To convert a decimal to a percentage, multiply it by 100:
[tex]\[
0.666666... \times 100 = 66.6666...
\][/tex]
This results in approximately 66.6666...%.
4. Identify the closest fraction form: The approximate repeating decimal 66.6666...% is commonly represented as [tex]\(66 \frac{2}{3}\%\)[/tex] because:
[tex]\[
\frac{2}{3} \text{ parts of a percent is } \approx 0.666...
\][/tex]
So, the percent equivalent of [tex]\(\frac{2}{3}\)[/tex] is [tex]\(66 \frac{2}{3}\%\)[/tex].
