Express 1.4191919... in the form , where p and q are integers and q ≠ 0.

Step-by-step solution

Let x = 1.4191919... = Multiplying both sides by 10, we get 10 x = Here, two digits are repeated continuously, therefore, again multiplying both sides by 100, we get 1000 x = = 1405 + = 1405 + 10 x 1000 x – 10 x = 1405 990 x = 1405 x =