Decimals to improper fractions program?
08-13-2018, 10:09 PM
Post: #22
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: Decimals to improper fractions program?
(08-13-2018 03:03 AM)Albert Chan Wrote:
(06-09-2018 02:54 PM)Csaba Tizedes Wrote:  In engineering practice more important the relative error. In this case the results are:
Code:
+/- 1.000% error:  19/6,  +/- 0.100% error:  22/7,  +/- 0.010% error: 289/92,  +/- 0.001% error: 355/113

Above table is mistaken, 355/113 is 100 times more accurate.
355/113 vs Pi, relative error = 85e-9 = 0.0000085%

I think the idea of the table is to give a fraction that – at least – matches a certain accuracy level. So if you need an accuracy of 0,001% or better, 355/113 is the first fraction to meet that target.

(08-13-2018 03:03 AM)Albert Chan Wrote:  I agree that relative error is more useful than digits matched.
All estimates below had 5% relative error, but digits matched are all over the place.

That's exactly why I prefer stating the number of matching digits.
But I am not an engineer. ;-)

Dieter
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 Messages In This Thread Decimals to improper fractions program? - Oddballs - 06-05-2018, 05:13 AM RE: Decimals to improper fractions program? - ijabbott - 06-05-2018, 02:26 PM RE: Decimals to improper fractions program? - mfleming - 06-05-2018, 02:28 PM RE: Decimals to improper fractions program? - Dieter - 06-05-2018, 06:36 PM RE: Decimals to improper fractions program? - Valentin Albillo - 06-07-2018, 12:08 AM RE: Decimals to improper fractions program? - Dieter - 06-07-2018, 07:27 AM RE: Decimals to improper fractions program? - Valentin Albillo - 06-07-2018, 10:39 PM RE: Decimals to improper fractions program? - Dieter - 06-08-2018, 08:17 AM RE: Decimals to improper fractions program? - Valentin Albillo - 06-09-2018, 12:55 AM RE: Decimals to improper fractions program? - Dieter - 06-09-2018, 11:46 AM RE: Decimals to improper fractions program? - Csaba Tizedes - 06-09-2018, 02:54 PM RE: Decimals to improper fractions program? - Albert Chan - 08-13-2018, 03:03 AM RE: Decimals to improper fractions program? - Dieter - 08-13-2018 10:09 PM RE: Decimals to improper fractions program? - Gerson W. Barbosa - 06-08-2018, 01:11 AM RE: Decimals to improper fractions program? - Oddballs - 06-06-2018, 04:33 PM RE: Decimals to improper fractions program? - Dieter - 06-06-2018, 09:12 PM RE: Decimals to improper fractions program? - Dieter - 06-07-2018, 08:58 AM RE: Decimals to improper fractions program? - Gene - 06-06-2018, 08:32 PM RE: Decimals to improper fractions program? - Csaba Tizedes - 06-07-2018, 11:30 AM RE: Decimals to improper fractions program? - acoto - 06-08-2018, 02:54 AM RE: Decimals to improper fractions program? - pier4r - 06-09-2018, 02:48 PM RE: Decimals to improper fractions program? - Gamo - 08-13-2018, 01:01 PM

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