In our maths lessons in 3V recently, we have been learning all about fractions. This week, we carried out an investigation to see whether the statement "The smaller the denominator, the larger the share" was true.
And what better way to find out than through the medium of chocolate...?!
Mrs Vaqueiro brought in a huge bar of chocolate with 64 individual squares.
First, she decided that she would eat the whole thing herself. This would be the fraction 1/1, and Mrs V would have 64 squares of chocolate all to herself!
As this was quite a large serving, she generously decided to share it equally with Mrs Miller, so they would have 1/2 each - 32 squares.
Then they decided to share it with Mrs Green and one of the children, so they would each have 1/4 of the chocolate. That meant 16 squares each!
Unfortunately, some of the children thought this was a bit unfair, and after a short period of negotiation, it was agreed that the chocolate should be shared with a few more children, until eventually, our 64 squares were shared equally among the whole class, including the adults. This meant that we had to divide our chocolate into 32 equal shares - or 1/32 each. As a result, everyone received 2 squares from the original whole.
We therefore proved that, as the denominator in a fraction grows larger, each individual share grows smaller - and vice versa.
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