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— [[User:Sonata Green|Sonata Green]]<sup>([[User_talk:Sonata_Green|talk]])</sup> 01:07, 13 April 2023 (UTC)
::@[[User:Sonata Green|Sonata Green]] There's an extra factor of 2 in front of the sum. The correct procedure is as follows:
::#Convert x to its continued fraction representation. Example: 2/3 = [0; 1, 2].
::#Interpret the numbers in the fractional part as sequences of alternating 0's and 1's, starting with 0 and ending with an infinite sequence of either zeros or ones: 011000... (1 zero and 2 ones).
::#Add a dot after the first zero and interpret the result as binary: 0.11<sub>2</sub> = 3/4.
::Here's another example: x = 3/5 = [0; 1, 1, 2] = → 0100111... ⇒ ?(3/5) = 0.100111...<sub>2</sub> = 0.101<sub>2</sub> = 5/8.
:[[User:Hugo Spinelli|Hugo Spinelli]] ([[User talk:Hugo Spinelli|talk]]) 10:10, 17 October 2023 (UTC)
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