Please tell me where I am mistaking in the following problem
1/5 < 3/5 (1)
therefore 1 x 5 < 3 x 5
and 5 < 15
but 1/5 = -1/-5 (2)
therefore from 1 and 2
-1/-5 < 3/5
therefore -1 x 5 < 3 x -5
and -5 < -15
but we know that this is not the case.
So please tell me where have I mistaken.