Given:
5/8 divided by 1/4
That is, to find the value of
[tex]\frac{\frac{5}{8}}{\frac{1}{4}}[/tex]So, we get
[tex]\begin{gathered} \frac{\frac{5}{8}}{\frac{1}{4}}=\frac{5}{8}\times\frac{4}{1} \\ =\frac{5}{2} \\ =2\frac{1}{2} \end{gathered}[/tex]Hence, the correct option is A.