Say you're making a recipe that needs 2 1/2 cups of water. But you want to make two servings, so you need to know what 2 1/2 + 2 1/2 equals. Or maybe you need a half cup of milk but you don't have enough. You need to know how much left you need so you can buy or borrow the right amount.
Say you have milk and coca. 8 and 9/16 of milk. 4 and 6/16 of coca. You have to mix them together. 8 and 9/16 + 4 and 6/16 = 12 and 15/16 of milk and coca.