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Numbers, units and arithmetic
Numbers, units and arithmetic

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Activity 9

The diagram below shows an oatmeal cake marked into 12 equal portions. I want to give my sister a third of the cake. Where could I cut the cake, and what would be left over?


(There are several other ways of cutting the cake into one-third (4 portions) and two-thirds (8 portions).)

Activity 10

Which two of the following fractions are equivalent to each other?

part 1 seven divided by eight part 2 49 divided by 64 part 3 35 divided by 40 part 4 eight divided by nine


Only seven divided by eight and 35 divided by 40 are equivalent fractions, since seven multiplication five divided by eight multiplication five equals 35 divided by 40.

(Notice that neither 49 divided by 64, which is seven multiplication seven divided by eight multiplication eight, nor eight divided by nine, which is seven plus one divided by eight plus one, are equivalent to seven divided by eight.)