What does #0.01/0 xx 100# equal?

We have #0.01/0 xx 100#. What does it equal?

The problem we run into with this expression is the "divide by 0". Things can't be divided by 0.

Think of it this way - a fraction consists of two numbers - the numerator (which tells us the number of somethings, perhaps slices of pizza), and the denominator (which tells us the size of the somethings). For instance, the fraction #1/2# tells us that the pizza was sliced in 2 (that the 2 in the denominator) and we have 1 piece (that being the numerator).

We can then look at #1/1# - or I have an entire pizza to myself.

Or #2/1# - I have 2 whole pizzas.

I can write fractions like #sqrt(34)/71# and still express that I have some number of slices of pizza #sqrt(34)# that was cut into so many slices (for instance 71).

I can write #0/2# - or in other words I have no slices of a pizza that was sliced into 2 pieces.

But I can't make sense of a pizza sliced into 0 slices.

I can say something like #1/.1# which would mean that the 1 thing I have (the numerator) is actually a part (a tenth) of something bigger. The same with #1/.01# (so the 1 thing I have is a hundredth of something bigger), and so on. But there is no ability to do that when there are no slices.

And so we say that anything divided by 0 is undefined.