a cake is cut into 12 equal pieces. there are 7 children and each child eats 1/3 of a piece

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To determine how many pieces of cake each child gets, we can divide the total number of pieces by the number of children.

First, we need to calculate how many pieces of cake there are. Since the cake is cut into 12 equal pieces, there are 12 pieces.

Next, we divide the total number of pieces by the number of children to find out how many pieces each child gets. In this case, there are 7 children.

So, we divide 12 pieces by 7 children:
12 pieces / 7 children ≈ 1.714 pieces

Since we can't have a fraction of a piece, we need to round down to the nearest whole number since each child will eat 1/3 of a piece.

Therefore, each child will get 1 piece of cake.

Then there would 9 and 2/5 pieces left.