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Mathematics 21 Online
OpenStudy (anonymous):

Write a a fraction. 30: 48

OpenStudy (callisto):

a:b = \(\frac{a}{b}\) Can you try it now?

OpenStudy (asnaseer):

@Callisto are you sure, I was under the impression that:\[a:b=\frac{a}{a+b}\]

OpenStudy (asnaseer):

e.g. if you apples to pears in the ratio 3:4 then 3/7 of them are apples

OpenStudy (klimenkov):

Hm. You have to know what means the ":" sign. If it is devision, then @Callisto is right. If it is the ratio - @asnaseer.

OpenStudy (asnaseer):

I was taught that ":" means ratio

OpenStudy (asnaseer):

@ongmon what have you been taught on this?

OpenStudy (callisto):

What I've learnt is the same as what has been taught in this video: http://www.khanacademy.org/math/arithmetic/basic-ratios-proportions/v/ratios-as-fractions-in-simplest-form

OpenStudy (asnaseer):

Hmmm - I've never come across it's usage in a context like that. See here for example: http://mathworld.wolfram.com/Colon.html

OpenStudy (asnaseer):

I guess the answer to this question depends on the response from @ongmon

OpenStudy (callisto):

In your example ''if you apples to pears in the ratio 3:4 then 3/7 of them are apples'' 7 is the total number of fruit. So, 3:7 is actually no. of apple: total no. of fruit

OpenStudy (asnaseer):

the way I was taught is as follows. if the ratio of apples to pears is 3:4, then it means 3 out of every 7 fruits are apples, and 4 out of every 7 fruits are pears.

OpenStudy (asnaseer):

@ongmon please respond so that we can teach you in the method that is most suitable to how you have been taught.

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