Convert the following repeating decimal to a fraction in sir .5overline (3) Answer Attempt 1 out of 3 square

## Step 1: Set up the equation### Let equal the repeating decimal . So, ## Step 2: Multiply by 10### Multiply both sides of the equation by 10 to move the non-repeating part to the left of the decimal: ## Step 3: Multiply by 10 again### Multiply both sides of the original equation by 100 to shift the repeating part one cycle to the left of the decimal: ## Step 4: Subtract the equations### Subtract the equation from Step 2 from the equation in Step 3: , which simplifies to .## Step 5: Solve for x### Divide both sides by 90: .## Step 6: Simplify the fraction### Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (6): .