Determine the max and min values for the following set of numbers. 2, 4/9, -3, -17/15, 1/30,-2, 31/6

The max is 31/6 (no other value is greater)

The minimum is -3 (no other value is less)

To determine the maximum and minimum values in a set of numbers, you need to compare each number to find the largest (maximum) and smallest (minimum) values. Here's how you can find the max and min values for the given set of numbers:

1. Begin by comparing the first two numbers, 2 and 4/9. Since 2 is greater than 4/9, set the maximum value to 2 and the minimum value to 4/9.

2. Next, compare the current maximum (2) with the next number, -3. Since -3 is smaller, update the maximum value to 2 and the minimum value to -3.

3. Continue this process, comparing the maximum and minimum values with each subsequent number.

4. Compare the current maximum and minimum values with the next number, -17/15. Since -17/15 is smaller than the current minimum (-3), update the minimum value to -17/15.

5. Proceed to compare the maximum and minimum values with the next number, 1/30. Since both values are greater than 1/30, no updates are needed.

6. Continue comparing the maximum and minimum values with the remaining numbers, -2 and 31/6, updating the values as necessary.

After comparing all the numbers, you should have the maximum and minimum values for the given set.

In this case, the maximum value is 2, and the minimum value is -17/15.