Question

Can the sum of two mixed numbers be equal to 2 ? Explain why or why not.

Answer 1

Let

$x=3\frac{1}{2} \\ \\ y=-1\frac{1}{2}$

Find the sum of the mixed numbers x and y

$(x+y)=3\frac{1}{2}+(-1\frac{1}{2})\\ \\(x+y)=2$

therefore

the answer is

Yes, the sum of two mixed numbers be equal to $2$, only if you include a negative mixed number

Answer 2

No because mixed numbers need atleast a one and a fraction to be a mixed number. But if there was a fraction then it couldn't equal two, because of the 1's