To convert the fraction \(\frac{6}{22}\) to a percent and round to the nearest whole percent, follow these steps:
1. Convert the fraction to a decimal:
[tex]\[
\frac{6}{22} \approx 0.2727272727272727
\][/tex]
2. Convert the decimal to a percent:
To convert a decimal to a percent, multiply by 100. Hence,
[tex]\[
0.2727272727272727 \times 100 = 27.27272727272727
\][/tex]
3. Round to the nearest whole percent:
To round 27.27272727272727 to the nearest whole number, you look at the first digit after the decimal point. Since it is a 2 (which is less than 5), you round down.
[tex]\[
27.27272727272727 \approx 27
\][/tex]
Therefore, the fraction [tex]\(\frac{6}{22}\)[/tex] expressed as a percent, rounded to the nearest whole percent, is [tex]\(27\%\)[/tex].