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.

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:

$\frac{5}{9}$