Recall that two fractions are equivalent if they represent the same amount.
From the given diagram we get that:
[tex]\frac{1}{2}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{1}{4}+\frac{1}{4}.[/tex]Now, notice that:
[tex]\begin{gathered} \frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{3}{6}, \\ \frac{1}{4}+\frac{1}{4}=\frac{2}{4}. \end{gathered}[/tex]Therefore
[tex]\frac{1}{2},\frac{3}{6},\text{ and }\frac{2}{4}[/tex]are equivalent.
Answer: Last option.