Final answer:
To determine the greatest rational number among the given options, we need to find their positive counterparts and compare their values. The rational number with the largest positive value is -6/11.
Step-by-step explanation:
To determine which rational number is the greatest in terms of magnitude or absolute value, we need to find the one with the largest positive value. Since all the given numbers are negative, we can compare them by looking at their positive counterparts. To find the positive value of a rational number, we ignore the sign (negative or positive) and only consider the numerator.
Let's find the positive values of the given rational numbers:
- -6/11 has a positive value of 6/11
- -5/12 has a positive value of 5/12
- -8/17 has a positive value of 8/17
- -4/5 has a positive value of 4/5
Comparing the positive values, we can see that 6/11 is the greatest in magnitude or absolute value among the given rational numbers.