Which number in the list has the greatest value: 8/3, 2.28, 10/12, 0.199?

To determine which number has the greatest value among the options given, it is essential to convert each number into a common format, such as decimal form, to facilitate easy comparison.

First, let's convert each of the numbers:

• The fraction 8/3 can be converted to decimal by performing the division:

8 ÷ 3 = 2.6667 (approximately).

• The decimal 2.28 remains as is for comparison.

• The fraction 10/12 can be simplified to 5/6. Converting 5/6 to decimal involves dividing 5 by 6:

5 ÷ 6 = 0.8333 (approximately).

• The decimal 0.199 also remains as is.

Now, we compare these values:

• 8/3 is approximately 2.6667.

• 2.28 is 2.28.

• 10/12 (or 5/6) is approximately 0.8333.

• 0.199 is 0.199.

Among these values, 2.6667 (8/3) is the largest. This shows that 8/3 holds the greatest value among the options listed, making it