In order to find the corresponding fraction, first let's convert the 24 minutes to hours:
[tex]24\text{ minutes}=24\cdot\frac{1}{60}hour=\frac{2}{5}\text{ hour}[/tex]Now, let's divide this amount of time by 24 hours:
[tex]\frac{\frac{2}{5}}{24}=\frac{2}{5}\cdot\frac{1}{24}=\frac{1}{60}\text{day}[/tex]So the corresponding fraction is 1/60.