To find the reciprocal of a fraction, you switch the numerator and denominator.
Integers can be written as fractions:
n = an integer
n
-- = n as a fraction
1
1
-- = the reciprocal of n
n
Therefore, the number you are looking for is 5, because 5 + 1/5 <--- which is the reciprocal of 5,
= 5 1/5