Write the repeating decimal as a fraction..103

To write the repeating decimal 0.103 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal 0.103.

Step 2: Multiply both sides of the equation by 1000 (since there are three decimal places) to eliminate the decimal point: 1000x = 103.103103...

Step 3: Subtract x from both sides of the equation to eliminate the repeating part: 1000x - x = 103.103103... - 0.103 999x = 103

Step 4: Divide both sides of the equation by 999 to solve for x: x = 103/999

Therefore, the repeating decimal 0.103 can be written as the fraction 103/999.