Represent x = 0.0154 recurring as a fraction.

To represent x = 0.0154 recurring as a fraction you need to eliminate the recurring element. You do this by finding the nearest multiple of x with the same recurring decimal element. For example, multiplying x by 10,000 gives 10,000x = 154.0154 recurring. 

x and 10,000x both have the same recurring element so you can eliminate this by subtracting x from 10,000x.

10,000x -x = 9,999x

154.0154 - 0.0154 = 154

So 9,999x = 154

Divide both sides by 9,999 to find x

x = 154/9999