Respuesta :
Answer:
[tex]x=\frac{1}{9}[/tex]
Step-by-step explanation:
Given decimal value is 0.1 (1 is repeating)
Let x= 0.11111........
only 1 number is repeating so we multiply by 10 on both sides
10x = 1. 1111............
x= 0.1111..............
--------------------------(subtract)
9x = 1
divide by 0 on both sides
[tex]x=\frac{1}{9}[/tex]