Answer:
-5.251
Explanation:
There are an infinite number of rational numbers between these values. One of them is ...
-5.251
__
Any value between these limits that is a terminating or repeating decimal will be a rational number of the kind you're looking for. For example, ...
-5 25/99 = 5.252525...(2-digit repeat)
is a rational number in the required range. So is -5 25/98, which has a 42-digits repeating decimal fraction.