Write the repeating decimal as a fraction..344244244…

To write the repeating decimal .344244244... as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal. x = .344244244...

Step 2: Multiply both sides of the equation by 1000 (since there are three digits in the repeating block) to eliminate the decimal point. 1000x = 344.244244...

Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part. 1000x - x = 344.244244... - .344244244... 999x = 344

Step 4: Divide both sides of the equation by 999 to solve for x. x = 344/999

Therefore, the repeating decimal .344244244... can be written as the fraction 344/999.