Write the repeating decimal as a fraction..4728

To write the repeating decimal .4728 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .4728.

Step 2: Multiply both sides of the equation by 10000 (since there are four digits after the decimal point) to eliminate the decimal:

10000x = 4728.4728

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

10000x - x = 4728.4728 - .4728

9999x = 4728

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

x = 4728/9999

Step 5: Simplify the fraction if possible. In this case, the numerator and denominator do not have any common factors other than 1, so the fraction is already in its simplest form.

Therefore, the repeating decimal .4728 can be written as the fraction 4728/9999.