Answer
False
Work Step by Step
An improper fraction is a fraction whose numerator is greater than its denominator.
Thus, if the numerator us divided by the denominator and:
(a) there is a remainder, then the improper fraction can be written as a mixed number; or
(b) there is no remainder, then the improper fraction can be written as a whole number.
This means that every improper fraction can be written either as a whole number or a mixed number.
Therefore, the statement is false.