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

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

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

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