Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Inactive » math-history-list

Topic: Egyptian fraction math only used quotient and remainder statements
Replies: 18   Last Post: Aug 31, 2012 9:23 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Milo Gardner

Posts: 1,105
Registered: 12/3/04
Re: Egyptian fraction math only used quotient and remainder statements
Posted: Dec 16, 2011 3:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Ahmes discussed x + x/3 + x/4 = 2, by considering

144x + 144/3 + 144/4 = 288 by

1. 1 + 1/3 + 1/2 to get 2

\2/3 1 1/3 152
\1/3 1/2 1/16 76
\1/6 1/4 1/72 38
\1/12 1/8 1/144 19
\1/228 1/144 1
\1/114 1/72 2

hence, x = 1 + 1/6 + 1/12 + 1/114 + 1/228 was the shorthand answer, and fair translation of the above can be summarized by

1 + 5/19 = 1 + 60/288 = 1 + (38 + 19 + 2 + 1)/288 =

x = 1/6 + 1/12 + 1/114 + 1/228

Q.E.D.


Date Subject Author
12/15/11
Read Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/17/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/17/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/18/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/19/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/20/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/21/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/22/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/23/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/3/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/3/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/6/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/9/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/19/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
2/10/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
8/31/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.