Question

How do you know that the sum of -2 3/4 and 5/9 rational?

Answer 1

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

Answer 2

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 $\frac{p}{q}$".