Write the repeating decimal as a fraction..9844

To write the repeating decimal .9844 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .9844.

Step 2: Multiply both sides of the equation by a power of 10 that will shift the decimal point to the right of the repeating part. In this case, we need to multiply by 10000 to move the decimal point four places to the right.

10000x = 9844.9844

Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part.

10000x - x = 9844.9844 - .9844

9999x = 9844

Step 4: Solve for x by dividing both sides of the equation by 9999.

x = 9844 / 9999

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

Therefore, the repeating decimal .9844 can be written as the fraction 9844/9999.