Final answer:
Nate ate 12 slices of the pie.
Step-by-step explanation:
To find out how many slices Nate ate, we need to first calculate how many slices are in the pie. We know that each slice is 1/16 of the pie, so we can calculate the total number of slices by dividing 1 by 1/16. 1 ÷ (1/16) = 16. So there are 16 slices in the pie.
Nate ate 3/4 of the pie, so we can find out how many slices he ate by multiplying the total number of slices by 3/4. 16 × (3/4) = 12. So Nate ate 12 slices of the pie.