Explanation
let´s remember the rule to add fractions, so
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}[/tex]so
Step 1
add by following the rule, simplify if possible
[tex]\begin{gathered} \frac{5}{12}+\frac{1}{4}=\frac{5\cdot4+12\cdot1}{12\cdot4} \\ \frac{5}{12}+\frac{1}{4}=\frac{20+12}{48} \\ \frac{5}{12}+\frac{1}{4}=\frac{32}{48}=\frac{16}{24}=\frac{8}{12}=\frac{4}{6}=\frac{2}{3} \end{gathered}[/tex]therefore, the answer is
[tex]\frac{2}{3}[/tex]I hope this helps you