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

Explanation:

Since we have given that

`-2(3)/(4)\ and\ (5)/(9)`

and we need to change the mixed fraction into improper :

`-2(3)/(4)=(-11)/(4)`

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

`(-11)/(4)+(5)/(9)\\\\=(-99+20)/(36)\\\\=(-79)/(36)`

since it is written in
`(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
`(p)/(q)`".