Write the repeating decimal as a fraction..499

To write the repeating decimal .499 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .499.

Step 2: Multiply both sides of the equation by 1000 (since there are three digits after the decimal point) to eliminate the decimal:

1000x = 499.499

Step 3: Subtract x from both sides of the equation to isolate the repeating decimal:

1000x - x = 499.499 - .499

999x = 499

Step 4: Divide both sides of the equation by 999 to solve for x:

x = 499/999

Step 5: Simplify the fraction if possible:

x = 499/999 = 1/2

Therefore, the repeating decimal .499 can be written as the fraction 1/2.