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the splitting identity and (b) Fibonacci’s method

the splitting identity and (b) Fibonacci’s method

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 21OE
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Question

Represent 7/ 29 as sums of distinct unit fractions using (a) the splitting identity and (b) Fibonacci’s method.

 

answer key

a.) 7/29 = 1/5 + 1/29 + 1/145

b.) 7/ 29 = 1/5 + 1/25 + 1/725

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