#1**+2 **

Here's how I do this

Forget the " -13" we'll add that in later

Working with the decimal, write the non-repeating and repeating part, 9535, and subtract the non- repeating part = 9535 - 9 = 9526

As a denominator......write the same number of 9s as the number of digits in the repeating part of the decimal- thus, 3 "9s", followed by the same number of 0s as the number of digits in the non-repeating part of the decimal, thus, 1 "0".......thus the denominator = 9990

So.......the decimal part of the fraction can be represented as 9526 / 9990

Add back the -13 giving the mixed number of - (13 + 9526/9990)

Converting this to a fraction, we have -(139396 / 9990)

Verify this for yourself

CPhill
Apr 23, 2017