Answer: The integer that corresponds to the given number is 27.
Detailed explanation:
To find the integer that corresponds to the supplied number, we shall first simplify the number provided.
Since it's a mixed number, we proceed with its simplification:

Thus, simplifying the mixed number
, we find:

An integer is defined as a number that does not appear as a fraction or decimal. If the number is depicted as a fraction or decimal, we simplify and round it to the nearest whole number.
Rounding rules:
If the decimal number is below 5, it is rounded down to the nearest whole number, and if it is 5 or above, it is rounded up to the next whole number.

Therefore, the integer that corresponds to the provided number is 27.