Respuesta :
Answer:
The sum is fraction therefore rational
Step-by-step explanation:
Given two numbers
[tex]-2\frac{3}{4}\text{ and }\frac{5}{9}[/tex]
we have to tell that how their sum is rational.
we add the above two number
[tex]-2\frac{3}{4}+\frac{5}{9}[/tex]
[tex]\frac{-11}{4}+\frac{5}{9}[/tex]
[tex]\frac{-99+20}{36}=\frac{-79}{36}=-2.194444...[/tex]
Hence, the sum is we can say fraction or non-terminating but repeating which is the definition of a rational number.
∴ from the given options answer C is correct.
The sum is fraction therefore rational.