How do I solve from this? pls don't only give me the answer. step by step pls. Rewrite as a simplified fraction

Question

asked Jan 22, 2021 85.3k views

1 Answer

Marcelo Myara · Answer 1 · 2021-01-28T14:00:11+0000

Answer:

(1)/(9)

Explanation:

Create 2 equations with the repeating part after the decimal point. Then by subtracting the repeating part is eliminated

let x = 0.1111.... → (1) ← multiply both sides by 10

10x = 1.1111.... → (2)

Subtract (1) from (2) eliminating the repeater, that is

9x = 1 ( divide both sides by 9 )

x =
(1)/(9)

That is

0.111111... =
(1)/(9)