what fraction is equivalent to 0.5̅? type a number in each box.

what fraction is equivalent to 0.5̅? type a number in each box.
Answer
Explanation:
Step1: Let x = 0.555...
$x = 0.555\cdots$
Step2: Multiply both sides by 10
$10x=5.555\cdots$
Step3: Subtract the first - equation from the second - equation
$10x - x=(5.555\cdots)-(0.555\cdots)$ $9x = 5$
Step4: Solve for x
$x=\frac{5}{9}$
Answer:
$\frac{5}{9}$