[Math4u] Re: Does fraction mean division?

 

hello,

"Fractions result from INEXACT DIVISION, when we view the remainder as a ratio of the divisor. "

19 divid by 8 = quotient 2 and the remainder 3

so the ratio 3 : 8  is equal to the fraction 3/8 isn't it?

another example :

35 divided by 6 = quotient 5 and the remainder 5

so the ratio is  5 : 6 and the fraction is 5/6

my question is :

when I see the fraction as for example : 9/14 I can quickly say

that is a ratio  9 :14  and this ratio is from some division where the remainder is 9 and the divisor is 14.

How to find this fraction?

if  Q is the quotient of this division , I can say that 

Q x 14+9= the dividend.

but that didn't give the concret division

 

Badriya

 

 

 

 

 

--- In Math4u@yahoogroups.com, Vinaire <vinaire@...> wrote:
>
> Fractions are directly related to the concept of divison.
>
> Fractions result from INEXACT DIVISION, when we view the remainder as a ratio of the divisor. This gives us a mixed number.
>
> Vinaire
>
>
> ----- Original Message ----
> From: badriyaraihani bonnerentree2003@...
> To: Math4u@yahoogroups.com
> Sent: Thursday, December 13, 2007 9:07:23 PM
> Subject: [Math4u] Does fraction mean division?
>
> Hi everyone,
> What is ¾ ?
> We can visualize ¾ as 1 pizza cut into 4
>
> equal slices and you get 3 slices.each
>
> slice equals ¼ . and you get 3x1/4. In
>
> this case ¾ is a fraction (we do the share within 1 )here to
> have a whole (1) we mut add 1/4.This is a unit partition
> But ¾ can also be seen as 3 pizzas to be shared among 4 persons.
> We have 3 units .here we say that we have to divide 3
> units into 4.This is a plural partition
> So in this case ¾ is a division
> In the both cases the fraction bar(/) is used . this slash
> sometimes mean fraction and sometimes division.
> It is a big mistake to say that fraction mean division.only in
> the case of the unit fractions( fractions which have 1 as
> numerator) that the meaning of fraction is equal to the
> meaning of division.
> The fraction ¼ is the same of 1 divided by 4
>
> Badriya
>
>
>
>
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