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Step 3 is wrong
Step 1: 1 = X/X
Multiply and divided by X.
Here Sign '/' use for horizontal fraction bar. By reverse we can again get 1, by X/X = 1. Therefore this step is true.
Step 2: = X/1X
Here 1 is coefficient of x denominator.
There is always an invisible 1 as a ceefficient of a variable.
we can write X/X = X/1X = 1X/X = 1X/1X = 1. By reverse solution the answer will be still 1. This step is also true.
Step 3: = X/1×X
Because 1X = 1×X
This step is creating problem because 1X is bellow the horizontal bar is a group (product) of variable and coefficients.
All factors of a product are the coefficients of the remaining factors. e.g.; 5abc = 5bac = a5bc = abc5 etc
Similarly in ab/cd, ab is nominator and cd is denominator. If we convert ab=a*b and cd=c*d we get a*b/c*d and when further solve we get abd/c. which is wrong.
Step 4: 1 = X^2
After applying these step people says that math is wrong. But they not understad their own mistakes. Please look at following image which is taken from a books written by Bartle and Sherbert.
Page 42: written as
Page 53: written as
1/2n = 1/(2n)
Page 350: written as
Page 363: written as
1/n(n+1) < 1/n² <= 1/n and
We hope this article is helpful to clear the concept. .