Re: Explaining a common fraction



In article <11thegp5vh0in7b@xxxxxxxxxxxxxxxxxx>,
"BarryAC" <barrymalvina@xxxxxxxxxxxxx> wrote:

>Thanks for your response, I hope the thread started explains. I have always
>accepted what you say, that is "c/d means c divided by d" and there is no
>problem, but as taught to children, it also means "divide your whole into d
>parts and take c of them". I am trying to understand why these are then the
>same. Barry AC.

Well, let 'w' be the number of items in the whole. Then
(c*w)/d = (c/d) * w
which appears to parallel your two senses of '/' (division, and
fraction-of) when d evenly divides w.

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