Show that 0.142857142857 ... = .

Step-by-step solution

Let x = 0.142857142857 ... ⇒ x = ...(i) Multiplying both sides by 1000000, we get 1000000 x = ...(ii) Subtracting (i) from (ii), we get 1000000 x – x = ⇒ 999999 x = 142857 ⇒ x = Hence proved.