Answer :
Given:
[tex]\frac{1}{6}+\frac{3}{8}[/tex]On addition we get,
[tex]\begin{gathered} \frac{1}{6}+\frac{3}{8}=\frac{1\times4}{6\times4}+\frac{3\times3}{8\times3} \\ =\frac{4}{24}+\frac{9}{24} \\ =\frac{13}{24} \end{gathered}[/tex]Hence, the simplest form is,
[tex]\frac{13}{24}[/tex]