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 Just a fraction off (Posted on 2006-05-28)

Egyptian Fractions are fractions expressed in the form of 1/n or as the sum of such fractions (1/a + 1/b + ...). For example, 2/3 would be expressed as 1/2 + 1/6.
(As found on the Rhind papyrus, 2/3 was one, if not the only, non-unit fraction used by the Egyptians.)

The following Egyptian Fractions correspond to the fractional portion of the first ten non-integer members of a "regular" series. (The "whole number" component of each member of the series is omitted and any series members without fractional components is likewise omitted).

What is the missing fraction in this sequence?

1/2 + 1/14
1/4 + 1/44
1/4 + 1/18 + 1/468
1/4 + 1/28
1/2
1/2 + 1/4 + 1/14 + 1/476
1/19
1/2 + 1/3 + 1/42
1/2 + 1/8 + 1/88
1/3 + ?

 See The Solution Submitted by Dej Mar Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): The busy work | Comment 4 of 7 |
(In reply to re: The busy work by brianjn)

I won't edit my earlier comment, I'll let it stand otherwise Mindrod's comment would seem to be out of place.

Upon reflection, and I was probably in haste, other than the 1/2 and 1/19, the denominators divide into the one having the 'higher' value.

No, 128 it is.

 Posted by brianjn on 2006-05-30 02:44:14

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