Post Reply 
(12C) Decimal to Fraction
08-11-2018, 02:13 AM
Post: #44
RE: (12C) Decimal to Fraction
(08-09-2018 11:13 AM)Thomas Klemm Wrote:  As we know \(\frac{113}{355}\) is closer for a long time. We have to wait until \(\frac{33215}{104348}\) to get closer

Hi, Thomas,

If you meant closer from below (i.e fraction < 1/Pi), above is correct.

However, if closer in absolute term, you don't have to wait that long.
For semiconvergent better than 113/355, solve for k

1/Pi - 113/355 = 2.703e-8 = (106 + 113k)/(333 + 355k) - 1/Pi
k ~ 145.8

If k >= 146, the fraction is closer.
For k = 146, we get 16604/52163, absolute error = 2.697e-8
Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
(12C) Decimal to Fraction - Gamo - 08-06-2018, 12:33 PM
RE: (12C) Decimal to Fraction - Dieter - 08-06-2018, 08:44 PM
RE: (12C) Decimal to Fraction - Dieter - 08-07-2018, 07:29 AM
RE: (12C) Decimal to Fraction - Dieter - 08-07-2018, 01:02 PM
RE: (12C) Decimal to Fraction - Dieter - 08-07-2018, 11:38 AM
RE: (12C) Decimal to Fraction - Gamo - 08-07-2018, 09:29 AM
RE: (12C) Decimal to Fraction - Joe Horn - 08-07-2018, 06:28 PM
RE: (12C) Decimal to Fraction - Dieter - 08-07-2018, 07:10 PM
RE: (12C) Decimal to Fraction - Joe Horn - 08-08-2018, 12:28 AM
RE: (12C) Decimal to Fraction - Dieter - 08-08-2018, 07:04 PM
RE: (12C) Decimal to Fraction - Dieter - 08-09-2018, 09:27 AM
RE: (12C) Decimal to Fraction - Dieter - 08-08-2018, 09:44 PM
RE: (12C) Decimal to Fraction - Gamo - 08-09-2018, 12:51 AM
RE: (12C) Decimal to Fraction - Dieter - 08-09-2018, 07:46 AM
RE: (12C) Decimal to Fraction - Dieter - 08-09-2018, 08:09 AM
RE: (12C) Decimal to Fraction - Gamo - 08-09-2018, 09:16 AM
RE: (12C) Decimal to Fraction - Dieter - 08-09-2018, 10:30 AM
RE: (12C) Decimal to Fraction - Dieter - 08-10-2018, 12:28 PM
RE: (12C) Decimal to Fraction - Gamo - 05-07-2019, 01:44 AM
RE: (12C) Decimal to Fraction - Dieter - 08-10-2018, 07:06 PM
RE: (12C) Decimal to Fraction - Albert Chan - 08-11-2018 02:13 AM



User(s) browsing this thread: 1 Guest(s)