Math CentralQuandaries & Queries


Question from Tre:

1/4 of a birthday cake was left over from a party. The next day, it is shared among 4 people. How big a piece of the original cake did each person get?


Here are two ways to look at the problem.

First Method:

1/4 of the cake is left and the next day each of the 4 remaining people get 1/4 of the left over cake. What is 1/4 of 1/4?

Second Method:

Here is an image of the whole cake


and here is an image of the 1/4 cake with lines to indicate where to cut it into 4 equal size pieces.

1/4 cake

If you cut the entire cake into pieces of this size how many would there be?


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