Help with an algorithm for converting decimals to fractions

08282014, 06:48 AM
(This post was last modified: 08282014 06:49 AM by Joe Horn.)
Post: #6




RE: Help with an algorithm for converting decimals to fractions
Here's a little HP 50g program that is a demo of the algorithm for converting a decimal into a fraction without storing the partial quotients of the expanded continued fraction.
Instructions: (1) Clear the stack. Put calculator in exact mode. (2) Place on level 1 of the stack either a decimal number, or an algebraic ratio of two integers, e.g. '123/234'. (3) Run the program repeatedly. Stop when level 4 shows infinity. Each iteration will display the following on the stack: 4: Current value of N. Stop when it's infinity. 3: Previous Convergent p/q in the form of { p q } 2: Current Convergent a/b in the form { a b } 1: Decimal evaluation of a/b Warning: Program must be loaded and run in exact mode. 'ITER8' ("Iterate") by Joe Horn Code: %%HP: T(3)A(R)F(.); <0ΙΈ0> Joe 

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Messages In This Thread 
Help with an algorithm for converting decimals to fractions  Namir  08272014, 08:55 PM
RE: Help with an algorithm for converting decimals to fractions  Paul Dale  08272014, 10:12 PM
RE: Help with an algorithm for converting decimals to fractions  Thomas Klemm  08272014, 10:32 PM
RE: Help with an algorithm for converting decimals to fractions  CosmicTruth  08282014, 12:51 AM
RE: Help with an algorithm for converting decimals to fractions  Joe Horn  08282014, 06:03 AM
RE: Help with an algorithm for converting decimals to fractions  Joe Horn  08282014 06:48 AM

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