Verified Answer :

1/2+2/3=3+4/6
=7/6
=1 1/6

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

\(\frac{1}{2}\) + \(\frac{2}{3}\)

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

6 is the least common denominator

\(\frac{1*3}{2*3}\) + \(\frac{2*2}{3*2}\) 
(multiplying to have the same denominator)
\(\frac{3}{6}\) + \(\frac{4}{6}\)
\(\frac{7}{6}\)

As a mixed number:
\(1 \frac{1}{6}\)