Respuesta :

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

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

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