what fraction is equivalent to 0.1̅? type a number in each box.

Explanation:

Step1: Let x = 0.111...

$x = 0.\overline{1}$

Step2: Multiply both sides by 10

$10x=1.\overline{1}$

Step3: Subtract x from 10x

$10x - x=1.\overline{1}-0.\overline{1}$ $9x = 1$

Step4: Solve for x

$x=\frac{1}{9}$

Answer:

$\frac{1}{9}$