ANSWER
[tex]2\colon9[/tex]EXPLANATION
We want to find the ratio of 4 days to 2 weeks 4 days.
First, let us express 2 weeks 4 days as days:
[tex]\begin{gathered} 1\text{ week = 7 days} \\ 2\text{ weeks = 14 days} \\ \Rightarrow2\text{ weeks 4 days = 14 + 4 = 18 days} \end{gathered}[/tex]Therefore, the ratio of 4 days to 2 weeks 4 days is:
[tex]4\colon18[/tex]Put it in lowest terms:
[tex]\Rightarrow2\colon9[/tex]That is the ratio.