changing a repeating decimal into a fraction
Repeating decimals can all be represented by a fraction. The rational number equal to the repeating decimal is the sum of the geometric series that represents the repeating decimal. Recall that the infinite sum of a geometric series is found using this formula:
This represents the repeating part of your decimal. So add this to the part of the decimal that is not repeating. Your job is to find out the first term (a1) and the "r" value that will produce the repeating part of your decimal to be able to evaluate this sum.