Natural number: No, because when you divide -202/45 you do not get a integer.
Integer: No, for the reason given before.
Whole number: No, for the reason given before (it is not an integer)
Real number: Yes, because real numbers include negative fractions.
Irrational number: No, because you can write the number as a fraction of two integers.
You would find the number -202/45 in the set of the real numbers.
