Dumb Question on ratio

Dumb Question on "ratio"

I have some text that implies the following (which makes abolutely no sense to me).

The ratio of 1/12, 5/12, 7/12, 11/12 is 4/11

Can anyone think of any context or meaing of "ratio" here for which this statement would make any sense?

 

Re: Dumb Question on "ratio"

Hi berkeman.

The text of the problem starts out as follows :

When I read this my understanding is that the proper fractions of denominator 12 which are "resilient" would be 1/12, 5/12, 7/12 and 11/12. But then how could one define the ratio of those to be 4/11.

In other words this is my problem:
- I think I understand how the author is defining "resilient" fractions.
- I think I understand what the author calls "the proper fractions of a denominator that are resilient".
- But I still don't understand how R(d) is defined or how that example works.

Perhaps it's just badly worded and I am totally misunderstanding the whole thing.

 

Re: Dumb Question on "ratio"

Thanks to both :).

So I guess the text could have been better worded as:

"Furthermore we shall define the resilience of a denominator, R(d), to be the ratio of the number of its proper fractions that are resilient to the total number of it's proper fractions; for example, R(12) = 4⁄11."

 

Re: Dumb Question on "ratio"

Yes someone asked me about that particular Project Euler problem and I had trouble making sense of their wording. Tiny-Tim's answer above made it clear though.