Question

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

A.The sum is a terminating and repeating decimal
B.The sum is a non-terminating and a non-repeating decimal.
C.The sum is a fraction
D.The sum is an integer

Answer 1

c

Explanation:

Answer 2

The sum is fraction therefore rational

Explanation:

Given two numbers

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

we have to tell that how their sum is rational.

we add the above two number

`-2(3)/(4)+(5)/(9)`

`(-11)/(4)+(5)/(9)`

`(-99+20)/(36)=(-79)/(36)=-2.194444...`

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.