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Answer :
To determine what percent is equivalent to [tex]\(\frac{2}{3}\)[/tex], we need to convert the fraction to a percentage. Here's a step-by-step explanation:
1. First, recall that to convert a fraction to a percentage, we multiply the fraction by 100.
2. Starting with the fraction [tex]\(\frac{2}{3}\)[/tex], we perform the multiplication:
[tex]\[
\frac{2}{3} \times 100
\][/tex]
3. Conducting this multiplication:
[tex]\[
\frac{2 \times 100}{3} = \frac{200}{3}
\][/tex]
4. Next, we divide [tex]\(200\)[/tex] by [tex]\(3\)[/tex], which gives:
[tex]\[
\frac{200}{3} \approx 66.66666666666666
\][/tex]
To express this as a mixed percentage, we note that [tex]\(66.66666666666666\)[/tex] can be interpreted as [tex]\(66 \frac{2}{3}\%\)[/tex] because the repeating decimal [tex]\(0.6666...\)[/tex] is equivalent to [tex]\(\frac{2}{3}\)[/tex].
Therefore, the appropriate answer is:
[tex]\[
66 \frac{2}{3}\%
\][/tex]
1. First, recall that to convert a fraction to a percentage, we multiply the fraction by 100.
2. Starting with the fraction [tex]\(\frac{2}{3}\)[/tex], we perform the multiplication:
[tex]\[
\frac{2}{3} \times 100
\][/tex]
3. Conducting this multiplication:
[tex]\[
\frac{2 \times 100}{3} = \frac{200}{3}
\][/tex]
4. Next, we divide [tex]\(200\)[/tex] by [tex]\(3\)[/tex], which gives:
[tex]\[
\frac{200}{3} \approx 66.66666666666666
\][/tex]
To express this as a mixed percentage, we note that [tex]\(66.66666666666666\)[/tex] can be interpreted as [tex]\(66 \frac{2}{3}\%\)[/tex] because the repeating decimal [tex]\(0.6666...\)[/tex] is equivalent to [tex]\(\frac{2}{3}\)[/tex].
Therefore, the appropriate answer is:
[tex]\[
66 \frac{2}{3}\%
\][/tex]
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