Write the repeating decimal as a fraction..0812

To write the repeating decimal .0812 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .0812.

Step 2: Multiply both sides of the equation by 10000 (since there are four decimal places) to eliminate the decimal point: 10000x = 81.12

Step 3: Subtract x from both sides of the equation to isolate the repeating decimal: 10000x - x = 81.12 - .0812 9999x = 81.0388

Step 4: Divide both sides of the equation by 9999 to solve for x: x = 81.0388 / 9999

Step 5: Simplify the fraction if possible. In this case, the fraction cannot be simplified further.

Therefore, the repeating decimal .0812 can be written as the fraction 81.0388 / 9999.

To write the repeating decimal .0812 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .0812.

Step 2: Multiply both sides of the equation by 10000 (since there are four decimal places) to eliminate the decimal point: 10000x = 81.12

Step 3: Subtract x from both sides of the equation to isolate the repeating decimal: 10000x - x = 81.12 - .0812 9999x = 81.0388

Step 4: Divide both sides of the equation by 9999 to solve for x: x = 81.0388 / 9999

Step 5: Simplify the fraction if possible. In this case, the fraction cannot be simplified further.

Therefore, the repeating decimal .0812 can be written as the fraction 81.0388 / 9999.