Step-by-step explanation:
Since we have given that
[tex]-2\frac{3}{4}\ and\ \frac{5}{9}[/tex]
and we need to change the mixed fraction into improper :
[tex]-2\frac{3}{4}=\frac{-11}{4}[/tex]
Now, we need to find the sum of both fractions:
[tex]\frac{-11}{4}+\frac{5}{9}\\\\=\frac{-99+20}{36}\\\\=\frac{-79}{36}[/tex]
since it is written in [tex]\frac{p}{q}[/tex] form . So, it is a rational number.
As we know that "Rational number is any real number which can be written in the form of [tex]\frac{p}{q}[/tex]".