Final answer:
The greatest sum of the given numbers is 15.2, the greatest difference is 27.5, the greatest product is 73.2, and the greatest quotient is approximately -6.6545.
Step-by-step explanation:
The task is to find the greatest sum, difference, product, and quotient using two of the numbers from the set {-3 3/5, 2.75, -18.3, 6, -4, 9 1/5} for each operation.
Sum
For the greatest sum, we want to add the two largest positive numbers: 9 1/5 (which is 9.2) and 6. The sum is 15.2.
Difference
For the greatest difference, we subtract the smallest number from the largest: 9 1/5 - (-18.3) which gives us 27.5.
Product
To find the greatest product, we should multiply the two largest absolute valued numbers: -18.3 x -4. This gives us a product of 73.2.
Quotient
For the greatest quotient, we want to divide the largest number by the smallest positive number: -18.3 / 2.75 results in a quotient of approximately -6.6545.