Last night pie was served and 1/3 was consumed. Today I am the 3rd person to take a left over piece. What fraction of pie do I get?

Question

Last night 1/3 of a pie was consumed. I am the 3rd person to get a left over piece.  Assuming the other 2 have taken equal shares what fraction of pie do I get?? 

Answer 1

If we assume the entire pie has now been consumed and

all 3 persons on day 2 got equal shares...

 

There was 2/3 of the pie left on the morning of day 2.

This 2/3 was split 3 ways so each of the 3 persons got

1/3 of 2/3 of the pie...

 

(1/3)(2/3) = 2/9 of the pie

Answer 2

The problem is incomplete. The left over part is 2/3. It is not given how big are the pieces the other people took before you. 

 

The answer is a range. It is less than 2/3 of cake. We cannot calculate the leftover piece, so that is the best answer.