Add the fractions to simplify the answer 1/2 + 2/3

To add fractions, we need to have the same denominator, or else we cannot proceed.

+ 

Least common denominator:
2 × 1 =2                               3 × 1 = 3
2 × 2 =4                               3 × 2 = 6
2 × 3 =6 

6 is the least common denominator

+  
(multiplying to have the same denominator)
+ 


As a mixed number:

21/2 or 5/2