Well, you know that 1.18 can be converted into 118/100. There are 1.18 'hundreds' in 118. So what you need to do next is simplify that fraction. 118(numerator) and 100(denominator) are both divisible by 2. So divide both of them by 2 and you get
59/50. That cannot be simplified further, so that is the simplest form.
No wait! Didn't see the repeating part! Look at falcon609 below for the correct answer.