Answer:
![x=(1)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yglib968didxnfstn5i602vm6vc16zk8ig.png)
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
![x=(1)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yglib968didxnfstn5i602vm6vc16zk8ig.png)