1/0

Awesome let's define it together?

Wrong. It is simultaneously both negative and positive infinity. Look it up.

Also, the fact that 1/0 is irrational is EXTREMELY good. There's a false proof (again, look it up) that all numbers are equal which is only false because you can't divide by 0. So if we could divide by 0, then 23 and 89234283740284702 would be the same thing.

it's either 1 or 0. i think it's 1.

0/0 is the same case as 1/0 I do believe. Both negative and positive infinity (Though don't argue that to your math teacher before you go to College, just put undefined if you dun wanna be raped). I may be wrong on that point though, so do please correct me if I am.

Ok, here's my rule.

Keanu's Law of Mathematics: "0 and ∞ are concepts, not numbers"
0 being the concept of a lack of value and ∞ being the concept of an infinite value.

A Problem: 1 / 0

If one takes the value 1 to be a complete value (As opposed to a partial value, eg. 0.5 or a higher value eg. 1.5), then dividing 1 by 0 is like dividing a complete value by the concept of a lack of value. Since there is a value to the number 1, or for that matter any number which is not 0 or ∞, it is like asking the question, "How much nothing is there in something?" The answer of course has multiple possible solutions, similar to asking the question, "What's the opposite of cat?" which could be answered with a variety of responses such as "Dog", "Mouse", or even "Inverse Cat". For the moment there are two probable outcomes.

A Solution 1: Implicating that 1 is equal to 100%

If 1 is taken to be 100%, as is often the case, then the question "How much nothing is there in something?" will be interpreted as the amount of "nothing" in 100% (Or 1). Since 100% of anything is a complete value, the amount of nothing in a complete value will always be nothing, or in mathematical terms, the concept of 0.

So, Solution 1:
1 / 0 = 0
Or, when X = 100%,
X / 0 = 0

A Solution 2: Implicating that 1 is NOT equal to 100%

If 1 is not taken to be 100%, the same principle applies, but requires a value or concept which implies everything. This concept is of course, ∞. So, the question 1 / 0 would be answered with the value of everything else which is greater than the value 1, which in turn would be ∞ - 1.

So, Solution 2:
1 / 0 = ∞ - 1
Or, when X ≠ 100%,
X / 0 = ∞ - X

B Problem: 0 / 0

Still taking into account the concept of 0, dividing 0 by 0 is like asking "How much nothing is there in nothing?". Much in the same way that asking "How much nothing is there in (14 / 20)?". The answer is 6. This is determined by interpreting 20 as 100% and 14 as the concept of something. The value 6 does not literally exist, but represents the lack of vaue (Or 30% missing, as 14 / 20 is an incomplete value)

B Solutions:

The possible solutions for 0 / 0 are as follows:

0 / 0 = 100%
... Determined from the amount of nothing in nothing being everything in nothing.
Similarly:

0 / 0 = 1
... When 1 = 100%, for the reason above.
To imply the concept of everything being the amount of nothing in nothing:

0 / 0 = ∞
... Taking ∞ to be a value of 100%.
In algebraic terms:

0 / 0 = X
when X = 100%

It's both actually, because a value of 0 actually has no value so there is a lack of value You can't have any less of a value than 0 so there is no value at all.