## 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.