Given the numbers -2 1/4 and -2.8
The rational number between the given numbers can be found using the average method as following :
[tex]\frac{-2\frac{1}{4}+(-2.8)}{2}=\frac{-2.25-2.8}{2}=\frac{-5.05}{2}=-2.525=-\frac{101}{40}=-2\frac{21}{40}[/tex]Note: there are a lot of rational numbers between the given numbers, we have calculated the number which is the midpoint of the given numbers.