Can the sum of two mixed numbers be equal to 2

Only if you include negatives. The sum of 3 and 1/2 + - 1 and 1/2 equals 2.

Not if they're both positive.

- - A mixed number is (a whole number) plus (a fraction).

- - The smallest whole number is ' 1 '.

- - So the smallest mixed number is (1 + a fraction).

- - The sum of two of these is (2) + (2 fractions).

- - That sum must be greater than ' 2 ' if all the pieces are positive.