[tex]1 \frac{32}{99}[/tex]
To easily convert repeating decimals into fraction most of them will have a denominator of 3, 7, or 9. Or multiples of those numbers. Note these are mainly prime. There are videos to help walk you through the process. In your situation 2 places are repeating which means you take the numbers/99.
If you had 3 or 4 repeating decimals you would divide by 999 or 9999.
Many times the fractions can be simplified but in your case it cannot be simplified.
Your answer is 1 and 32/99