This is an interesting dilemma. In many facilities, you actually have to write out the dose in mg/ml for instance, as (and I hope to be clear, as I am not sure I can explain) say that you have on hand both 325mg and 500mg of acetaminophen. The dose is 650mg (or even 975) the confusion can come in if you say "2 tabs" and those 2 tabs can mean different things to different nurses. (Even so much as "eh, 975, 1000 what's the difference?) Which then gets into max 24 hour dose for acetaminophen.....
So I would question the whole "tabs" thing. I could see the answer being __mg/tabs/caps/whatever med unit, being based on what's on hand.
If one is cross multiplying and dividing, again not sure why numerator/denominator is such a huge issue--and very dependent on someone's understanding of math concepts in the past....ESPECIALLY if the answer is correct, and you figure out the answer but due to having to "show your work" invert the fraction
And yes, my mathmetician kid would tell me that numerator and denominator is a process by which you divide one thing (the denominator) by the numerator. And by not setting it up that way, you were not dividing in the correct format. But is the goal math or is it the correct answer in a pharmacology class? Bottom line you got every answer correct. Is the goal math, or is the goal safe and correct medication administration?
We had an ultra strict pharmacy, and "tabs" wasn't even used, as in fact not everything comes in tabs but in other units of medication. Orders were to be clarified "Acetamnophen, 325 mg, 975mg PO q 8 hours PRN pain. Dose not to exceed 4000mg q 24 hours" that kind of thing. Tabs is subjective, and not always on hand as a unit of medication. Hence why the mg on hand and mg to give were all in mg.
However, since your professor insisted you use "tabs", and what happened when you had liquid (ml's) and you could not use "tabs"....
I would argue that this is not a math class, but a pharmacology class. That you set up your problems as to how you best understand how to divide appropriately. The goal is patient safety and correct dose. That whenever an order requires some sort of alternate than what is on hand, another nurse checks math and dose calculation for safety. You would know your resources and how to use them.
Best wishes, and please let us know how it goes!