To determine which number in the list has the greatest value, we first need to evaluate each number given. The numbers listed are [tex]\(\frac{8}{3}\)[/tex], 2.28, [tex]\(\frac{10}{12}\)[/tex], and 0.199.
1. Evaluating [tex]\(\frac{8}{3}\)[/tex]:
[tex]\[
\frac{8}{3} \approx 2.6667
\][/tex]
2. Next number is 2.28:
[tex]\[
2.28
\][/tex]
3. Evaluating [tex]\(\frac{10}{12}\)[/tex]:
[tex]\[
\frac{10}{12} = \frac{5}{6} \approx 0.8333
\][/tex]
4. The last number is 0.199:
[tex]\[
0.199
\][/tex]
Now, we compare the values:
- [tex]\(\frac{8}{3} \approx 2.6667\)[/tex]
- 2.28
- [tex]\(\frac{10}{12} \approx 0.8333\)[/tex]
- 0.199
Among these values, the greatest value is approximately 2.6667, which corresponds to [tex]\(\frac{8}{3}\)[/tex].
Therefore, the number in the list that has the greatest value is:
A. [tex]\(\frac{8}{3}\)[/tex]
