Question

0.1111111111..... change in the form of p/q​

Answer 1

Answer:

Let x = 0.111...  (1)

10x = 1.111...(2)

by (2) - (1), we get

10x - x = 1.111.. - 0.111..

9x = 1

x = 1/9

Step-by-step explanation:

Answer 2

Let x = 0.111... ---(1)

Multiply both sides of the equations with 10, we get

10x = 1.111... -- (2)

Subtract equation (2) from (1)

10x - x = 1.111... - 0.111...

9x = 1

x = 1/9 , which is in the form of p/q