Can anyone tell me
\(a\neq b\)

Quantity A	Quantity B
\(\frac{(a-b)}{(b-a)}\)	1

Manhattan 5lb answer => (a-b)/-(a-b) = -1 so B is correct (Understood)

but why can't we do this like

1) \(\frac{a-b}{b-a}\) [?] 1
2)(a-b) [?] (b-a) multiplying b-a on both sides
3)(a-b) [?] -(a-b) dividing by (a-b)
4)1 > -1
A is greater according to this method can I know why I cant do this like