Respuesta :

The initial expression is:

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

We need to use the addition of fractions rule, and we obtain:

[tex]\begin{gathered} \frac{2}{6}+\frac{3}{4}=\frac{2\cdot4+6\cdot3}{6\cdot4}=\frac{8+18}{24}=\frac{26}{24}=\frac{2\cdot13}{2\cdot12}=\frac{2}{2}\cdot\frac{13}{12}=1\cdot\frac{13}{12} \\ \Rightarrow\frac{2}{6}+\frac{3}{4}=\frac{13}{12} \end{gathered}[/tex]

The answer is 13/12