When a cake is divided between a certain number of people, each gets a certain portion. Dividing
it between fewer people results in each one receiving a larger portion. How much larger? If it is
divided between, say, 5 times fewer people, each portions would become 5 times larger.
We arrived at 2 by dividing the 6 by 3. We should have divided by something that is 5 times
smaller than the 3, (by 3
5
), so, the result should be 5 times larger than the 6
3
. Thus we
deduce that our 6
3
5
¸ must mean 6
3
´ 5 ( = 10 ). Generalising
When a cake is divided between a certain number of people, each gets a certain portion. Dividingit between fewer people results in each one receiving a larger portion. How much larger? If it isdivided between, say, 5 times fewer people, each portions would become 5 times larger.We arrived at 2 by dividing the 6 by 3. We should have divided by something that is 5 timessmaller than the 3, (by 35), so, the result should be 5 times larger than the 63. Thus wededuce that our 635¸ must mean 63´ 5 ( = 10 ). Generalising
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