perplexus.info :: Just Math : Find Friendly Fractions!

Find Friendly Fractions! (Posted on 2004-11-24)

Can you explain the relationship between 27 and 37 that produces 1/27=0.037037037... and 1/37=0.027027027...? (That is, each number forms the other number's repeating decimal.)

Can you provide other similar examples, possibly with more or fewer digits?

See The Solution Submitted by Old Original Oskar!

Rating: 3.5455 (11 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
some thoughts iv	K Sengupta	2022-04-08 00:07:28
some thoughts iii	K Sengupta	2022-04-07 07:20:06
some thoughts ii	K Sengupta	2022-04-06 12:25:00
re: ***************	K Sengupta	2008-04-29 11:24:04
some thoughts	K Sengupta	2008-02-21 14:21:06
repeating fractions	The riddler	2006-01-07 20:47:18
re: 999999999999999	Charlie	2004-11-27 16:30:01
999999999999999	sragen	2004-11-27 06:14:14
Explanation	Michael	2004-11-24 22:29:03
re(2): more fun and a reason	Charlie	2004-11-24 18:57:53
re: more fun and a reason	Erik O.	2004-11-24 16:07:25
more fun and a reason	Larry	2004-11-24 14:56:15
Cute...	Erik O.	2004-11-24 14:54:17
What you're getting at?	Jer	2004-11-24 14:40:25
Very Slick, Oscar	owl	2004-11-24 14:23:50
more examples	RandyOrton	2004-11-24 13:15:02
more examples	RandyOrton	2004-11-24 13:05:15

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