Answer:
[tex]\frac{1}{x-1}[/tex]
Step-by-step explanation:
(x - 1) × [tex]\frac{1}{x-1}[/tex] ( cancel the factor (x - 1) on numerator and denominator
= 1
[ In the same way 2 × [tex]\frac{1}{2}[/tex] = 1 ]
The required rational expression is [tex]\frac{1}{x-1}[/tex]