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
LF
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