Answer: The fraction of the original pie that is left is 5/36
Step-by-step explanation:
Sven made a single gigantic. It is assumed to be 1.
Sven cut the pie into 12 pieces. It means that each piece is 1/12 of the pie. Seven people each had one slice. This means that the fraction of the pie that the 7 people had is
7 × 1/12 = 7/12
They left 5 slices. This is 5/12 of the full pie. The next day, Sven eat 2/3 of the remaining slices. This is expressed as
2/3 × 5/12 = 5/18
The fraction of the original pie that is left
5/12 - 5/18 = (90 - 60)/216
= 30/216 = 5/36