there are 24 hours in 1 day, so 1 hour alone will be 1/24 of a day.
there are 60 minutes in 1 hour, now, how much is 45 mins of 60 minutes, namely 45/60 = 3/4, so 45 mins is 3/4 of an hour.
so 45 minus is 3/4 of that 1/24 of a day, or namely
[tex]\cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{4}\cdot \cfrac{1}{\underset{8}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{32}[/tex]
