The true statement about the integer fraction that equals the square root of 2 is:
It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction of two integers (i.e., in the form \( \frac{m}{n} \) where \( m \) and \( n \) are integers). Thus, no integer fraction exists that equals the square root of 2.