Convert decimal number to rational: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Convert_decimal_number_to_rational}}
'''Solution'''
'''Case 1. Without repeating digits'''
The Fōrmulæ '''Rationalize''' expression converts from decimal numberts to rational in lower terms.
[[File:Fōrmulæ - Convert decimal number to rational 01.png]]
[[File:Fōrmulæ - Convert decimal number to rational 02.png]]
[[File:Fōrmulæ - Convert decimal number to rational 03.png]]
[[File:Fōrmulæ - Convert decimal number to rational 04.png]]
'''Case 2. With repeating digits'''
Fōrmulæ '''Rationalize''' expression can convert from decimal numbers with infinite number of repeating digits. The second arguments specifies the number of repeating digits.
[[File:Fōrmulæ - Convert decimal number to rational 05.png]]
[[File:Fōrmulæ - Convert decimal number to rational 06.png]]
In the following example, a conversion of the resulting rational back to decimal is provided in order to prove that it was correct:
[[File:Fōrmulæ - Convert decimal number to rational 07.png]]
[[File:Fōrmulæ - Convert decimal number to rational 08.png]]
[[File:Fōrmulæ - Convert decimal number to rational 09.png]]
[[File:Fōrmulæ - Convert decimal number to rational 10.png]]
[https://en.wikipedia.org/wiki/0.999... 0.999... is actually 1]:
[[File:Fōrmulæ - Convert decimal number to rational 11.png]]
[[File:Fōrmulæ - Convert decimal number to rational 12.png]]
'''Programatically'''
Even when rationalization expressions are intrinsic in Fōrmulæ, we can write explicit functions:
[[File:Fōrmulæ - Convert decimal number to rational 13.png]]
[[File:Fōrmulæ - Convert decimal number to rational 14.png]]
[[File:Fōrmulæ - Convert decimal number to rational 15.png]]
[[File:Fōrmulæ - Convert decimal number to rational 16.png]]
[[File:Fōrmulæ - Convert decimal number to rational 17.png]]
[[File:Fōrmulæ - Convert decimal number to rational 18.png]]
[[File:Fōrmulæ - Convert decimal number to rational 19.png]]
[[File:Fōrmulæ - Convert decimal number to rational 20.png]]
=={{header|Go}}==
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