Can the sum of two mixed numbers be equal to 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.

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

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