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