Mrs. Hopkins made four different pies for the fair. Each pie was the same size. At the fair, she cut the blueberry pie into 6 equal slices, the apple pie into 5 equal slices, the peach pie into 3 equal slices, and the chocolate pie into 4 equal slices.
Alyssa, Dalton, Rowan, and Shane each bought one slice of pie but ate only a portion of that slice. Each chose a different kind of pie.
- Alyssa bought the largest slice available and ate of it.
- Dalton bought the smallest slice available and ate of it.
- The slice Rowan bought was bigger than the slice Shane bought. Rowan ate of his slice.
- Shane ate of his slice.
What kind of pie did each person choose?
What fraction of the total pie did each person eat? Simplify the fractions in the answer.