Question

2/3 parts of a cake is distributed,then remaining part of the cake
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Answer 1

Answer:

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Answer 2

We've got

2

3

of a cake and we've got three friends who each get an equal piece. So what fraction of the cake did each friend get?

Let's work this problem this way: we can say that there are three friends and each got an equal piece, and so each friend got

1

3

of the cake that was eaten. So had the entire cake been eaten, each friend would have gotten:

1

3

×

1

=

1

3

of the cake.

So each friend got a

1

3

slice. But not from the full cake. Instead, it's from

2

3

of the cake, so that's:

1

3

×

2

3

=

2

9

of the cake.

Another way we can work this is to say that the

2

3

of the cake was divided into 3 pieces, so:

2

3

3

and that can be expressed:

2

3

3

=

2

3

×

3

=

2

9