Verified Answer :

iGreen

The sum of any two rational numbers is rational. Both of these numbers are rational, therefore adding them will give us another rational number.

Step-by-step explanation:

Since we have given that

\(-2\frac{3}{4}\ and\ \frac{5}{9}\)

and we need to change the mixed fraction into improper :

\(-2\frac{3}{4}=\frac{-11}{4}\)

Now, we need to find the sum of both fractions:

\(\frac{-11}{4}+\frac{5}{9}\\\\=\frac{-99+20}{36}\\\\=\frac{-79}{36}\)

since it is written in \(\frac{p}{q}\) 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 \(\frac{p}{q}\)".

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