I need a step by step proving of the statement
If c is any nonzero real number then c/c = 1

Question

anonymous · Answer

Starting from...?

anonymous · Answer

i guess it depends of what you definition of division is.  if you say 
$$\frac{a}{b}=c \iff a=bc$$ then 
$$\frac{c}{c}=x \iff xc = c \iff x = 1$$

anonymous · Answer

you have to start with something, as estudier said

anonymous · Answer

I don't know where to start T_T

anonymous · Answer

Well, satellite73 has linked together the operations of division and multiplication to conclude that c/c = 1.

Does his argument not convince you?

anonymous · Answer

it is totally obvious that any non-zero number divided by itself is 1.  when asked this question, are you given a definition for division?

anonymous · Answer

Yes, I was.

anonymous · Answer

How about c * 1/c? Maybe we could do something with that?

anonymous · Answer

yes,yes ...I remember, our instructor told us about Multiplicative Inverses

anonymous · Answer

may stuff is ending up all over the place

anonymous · Answer

Now we're talking...reckon you can do it now...

anonymous · Answer

Yey..thank you so much for the help :) Satellite and estudier

anonymous · Answer

you are welcome, what is this course you are doing?

anonymous · Answer

It's College Algebra and Trigonometry

anonymous · Answer

Ah, right...Good luck with it then.

anonymous · Answer

Thanks! :)