6. [tex]\(\frac{8}{3}, 2.28, \frac{10}{12}, 0.199\)[/tex]

What number in the list above has the greatest value?

A. [tex]\(\frac{8}{3}\)[/tex]

B. 2.28

C. [tex]\(\frac{10}{12}\)[/tex]

D. 0.199



Answer :

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]