### Brain Teasers

# The Last Piece

Mom bakes a cake. Dad ate 1/6 of the cake. Brother ate 1/5 of what was left. Then sister had 1/4 of the remaining cake. After that the dog ate 1/3 of the remaining cake, and finally another kid ate 1/2 of what was left after the dog was finished. What fraction of the whole cake is left for mom to eat?

### Hint

She cut it into six pieces after she baked it.### Answer

1/6 - the same amount everyone else got to eat.Hide Hint Show Hint Hide Answer Show Answer

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## Comments

HOW could another kid eat 1 half of a cake gee he is a pig!

he ate half of what was LEFT... sice there were only 2 pieces left he ended eating one piece

It's funny that they all got the same amount of the cake. Nice!

Easy...but good

Great teaser it as kinda easy but I Luved doing it

good one, my class liked it too!

I do think it's kinda nasty that the second kid and the mom ate theirs "after the dog was finished"

I do think it's kinda nasty that the second kid and the mom ate theirs "after the dog was finished"

If it had been a normal dog and if it liked the cake at all, it would not have left anything for anyone else.

Otherwise there's nothing wrong with letting the dog eat before some humans, as long as the dog uses a fork and the cake stays on the plate.

Otherwise there's nothing wrong with letting the dog eat before some humans, as long as the dog uses a fork and the cake stays on the plate.

Nice teaser.

Silly me, I didn't see the obvious answer immediately, but it still solved easily in my head:

5/6 * 4/5 * 3/4 * 2/3 * 1/2 cancels out the 5s, 4s, 3s and 2s leaving 1/6.

Silly me, I didn't see the obvious answer immediately, but it still solved easily in my head:

5/6 * 4/5 * 3/4 * 2/3 * 1/2 cancels out the 5s, 4s, 3s and 2s leaving 1/6.

too easy.

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