I'm having trouble understanding division when the divisor is greater than the dividend, for ex 1/4.
I think of division as "how many times can the divisor fit into the dividend evenly".
Intuitively, when I see 1/4 in the context of slices of pizza, I think of it as 1 "out of" 4, but I can't seem to grasp it in terms of "how many times does 4 fit into 1" if that makes any sense.
In other words my question could be why do we use division to represent "one out of 4"?.
If it helps you guys understand, this came about as I was trying to find the percentage representation of two populations, as in "there are 1253 A's and 747 B's, what is the proportion of each in % ?".
Conceptually I understand that I need to add up those two populations and then find the proportion they represent of that total. However, when I got to that second part, I couldn't reason through whether I needed to divide the total by a population, or a population by the total in order to find the desired result.
Obviously I eventually found the right way to do it, but it still doesn't make sense to me.
Sorry if it's very vague, this is really bothering me; I can't seem to reconcile those two ways of thinking about division.