All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Repeated part divisible by 9 (Posted on 2013-03-22)
Prove: if a rational number has a repeating decimal and the denominator is not divisible by 3 then the block of digits that repeats, taken as a decimal, is divisible by 9.

Examples:
7/13 = .538461 538461 538461 ...
538461 = 9*59829

15/22 = .6 81 81 81 ...
81 = 9*9

 No Solution Yet Submitted by Jer No Rating

Comments: ( You must be logged in to post comments.)
 Subject Author Date Other available conclusions Steve Herman 2013-03-24 10:28:57 the simple way broll 2013-03-24 00:17:18 Proof by geometric series (spoiler) Steve Herman 2013-03-24 00:11:03
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information