Which of the follwing numbers is greatest?

3.2, 3 1/4, 25/8, 3.15, 19/6

Each number is between 3.1 and 3.3
Convert each to a decimal and you will see which is biggest.
You could also figure it out by realizing that 3.2>3.15
and
3 1/4 > 3 1/5 = 3.2 > 3 1/6 > 3 1/8

To determine which of the given numbers is the greatest, we can convert each of them into decimal form.

Starting with the first number, 3.2, it remains the same as a decimal.

Moving on to the second number, 3 1/4, we can convert the fraction to a decimal by dividing 1 by 4, which equals 0.25. Therefore, 3 1/4 is equivalent to 3.25 as a decimal.

Now let's convert the third number, 25/8, to a decimal. Divide 25 by 8, and you will get 3.125.

For the fourth number, 3.15, it already appears as a decimal.

Lastly, we need to convert the fifth number, 19/6, into a decimal. Divide 19 by 6, and you will get approximately 3.1667.

Now that we have all the numbers in decimal form, we can compare them to determine which one is the greatest.

3.2 > 3.15 (3.2 is greater than 3.15)

3.2 > 3.25 (3 1/4)

3 1/4 = 3.25 > 3.2

3 1/4 > 3 1/5 = 3.2

3 1/5 = 3.2 > 3 1/6

3 1/6 = 3.1667 > 3 1/8

Therefore, the greatest number among the given options is 3 1/4, or 3.25 as a decimal.