Final answer:
The store manager can organize 8/15 of the display shelf in 1 hour, with no need for further reduction as the fraction is already in its simplest form.
Step-by-step explanation:
To determine how much of the display shelf the store manager can organize in 1 hour compared to 1 1/2 hours, we need to set up a ratio. The manager can organize 4/5 of a shelf in 1 1/2 hours, which is the same as 3/2 hours. To find out how much she can organize in 1 hour, we divide the fraction of the shelf organized by the number of hours.
Here's the calculation:
- (4/5) shelf / (3/2) hours = (4/5) * (2/3) = 8/15
- So in 1 hour, the manager can organize 8/15 of the display shelf.
Since 8/15 is already in its simplest form, no further reduction is required.