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Marsha bakes a cake for a party. Several guests take 1/3rd of the cake and split it. A few more guests take half of what is left and split that. Marsha takes a third of the remaining cake for herself. If Marsha evenly divides what is left of the cake between the 4 remaining guests, what fraction of the original cake will each of them receive?

Respuesta :

Answer:

1/18.

Step-by-step explanation:

Firstly 1 - 1/3 = 2/3 left

Now 1/2 of 2/3 is taken  to leave  2/3 - 2/3 * 1/2 = 1/3.

Marsha takes 1/3 of 1/3 = 1/9 so now there is 1/3 = 1/9 = 2/9 left.

So the 4 remaining guests will receive  2/9 * 1/4 = 2/36

= 1/18 of the cake.