Respuesta :

First find the MCM of both fractions:

[tex] \frac{1}{2} + \frac{2}{3} = \frac{3}{6} + \frac{4}{6} [/tex]

After that do the sum normally:

[tex] \frac{3}{6} + \frac{4}{6} = \frac{7}{6} = 1 \frac{1}{6} [/tex]

Hope it helped,

Happy homework/ study/ exam!

Here we have to find lcm of 2 and 3 first

lcm of 2 and 3 is 2*3=6

now we convert both denominator into lcm

[tex] \frac{1}{2} +\frac{2}{3} [/tex]

[tex] \frac{1*3}{2*3} +\frac{2*2}{3*2} [/tex]

[tex] \frac{3}{6} +\frac{4}{6} [/tex]

combining numerators

[tex] \frac{3+4}{6} [/tex]

=7/6