Expressing a decimal as a fraction in lowest terms

Question

How can I express a decimal such as 0.1845095405274387 as a fraction in its lowest terms?

$\begingroup$ Rationalize[0.1845095405274387, 10^-50] ? $\endgroup$
– Dr. belisarius
Jun 20, 2012 at 1:07 — Dr. belisarius, Jun 20, 2012 at 1:07

Simon Woods · Accepted Answer · 2012-06-21 21:21:47Z

9

Another option:

RootApproximant[0.1845095405274387, 1]

answered Jun 21, 2012 at 21:21

Simon Woods

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J. M.'s eventual burnout · Accepted Answer · 2012-06-21 23:05:07Z

8

Still another possibility:

Last[Convergents[0.1845095405274387]]

answered Jun 21, 2012 at 23:05

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$\begingroup$ +1 for referencing a non-esoteric function I cannot recall using. $\endgroup$
– Mr.Wizard
Jun 22, 2012 at 2:02
$\begingroup$ I deal with continued fractions somewhat frequently, you see... $\endgroup$
– J. M.'s eventual burnout ♦
Jun 22, 2012 at 2:04

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Mr.Wizard · Accepted Answer · 2012-06-20 01:25:20Z

7

A couple of bits of code for your consideration:

FromDigits@#/10^(Length@# - #2) & @@ RealDigits[0.1845095405274387]

Rationalize[0.1845095405274387, $MachineEpsilon]

answered Jun 20, 2012 at 1:25

Mr.Wizard

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$\begingroup$ @Mr.Wizard...I Thank you $\endgroup$
– emmett
Jun 20, 2012 at 2:08

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3 Answers 3