1/2+4/3

To add the fractions \( \frac{1}{2} \) and \( \frac{4}{3} \), you first need to find a common denominator. The least common multiple of the denominators 2 and 3 is 6.

Now, convert each fraction to have a denominator of 6:

\[ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \]

\[ \frac{4}{3} = \frac{4 \times 2}{3 \times 2} = \frac{8}{6} \]

Now, add the two fractions:

\[ \frac{3}{6} + \frac{8}{6} = \frac{3 + 8}{6} = \frac{11}{6} \]

So, \( \frac{1}{2} + \frac{4}{3} = \frac{11}{6} \).