Answer:
An infinite number.
Step-by-step explanation:
There are many, many rational fractions between -6 and -5.
For example, take the numbers - 5 2/7 and - 5 4/7. there is another rational between these - 5 3/7.
Then we have another between - 5 2/7 and - 5 3/7 which is - 5 5/14, - and we could go on doing this all day and never coming to an end!!