# [PD] number to fractions external?

i go bananas hard.off at gmail.com
Fri Dec 16 12:07:13 CET 2011

```yeah, my patch only works for rational numbers.

will have a look at the article / method you posted, claude.

On Fri, Dec 16, 2011 at 7:49 PM, Claude Heiland-Allen <claude at goto10.org>wrote:

> On 16/12/11 06:51, i go bananas wrote:
>
>> by the way, here is the method i used:
>>
>> first, convert the decimal part to a fraction in the form of n/100000
>> next, find the highest common factor of n and 100000
>> (using the 'division method' like this:
>> http://easycalculation.com/**what-is-hcf.php<http://easycalculation.com/what-is-hcf.php>)
>>
>> then just divide n and 100000 by that factor.
>>
>
> I don't think that method will give happy results for most simple
> fractions.  Plus it's useful to get approximations that are simpler or more
> accurate, like 3 or 22/7 or 355/113 for pi..
>
> Your patch doesn't work very well for me:
>
> input: 1/7
> fraction: 2857/20000
> input: 8/9
> fraction: 11111/12500
> input: 7/11
> fraction: 15909/25000
> input: 11/17
> fraction: 4313.67/6666.67
>
> (input is "\$1 \$2"--[/], so as accurate as floating point is...)
>
>
>  actually, that means it's accurate to 6 decimal places, i guess.
>>
>
> There's a way to get a "simple" fraction like 1/7 instead of 143/1000 or
> whatever, could be possible to implement in Pd?  (I've not tried.)
>
>
> [1] http://en.wikipedia.org/wiki/**Continued_fraction#Best_**
> rational_approximations<http://en.wikipedia.org/wiki/Continued_fraction#Best_rational_approximations>
>
>  well...whatever :D
>>
>
>
> Claude
>
>
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