MixedFractionParts

MixedFractionParts[expr]

gives the list {IntegerPart[expr],FractionalPart[expr]}.

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • MixedFractionParts[x] in effect separates the digits to the left and right of the decimal point.
  • Total[MixedFractionParts[x]] is exactly x for numeric x.
  • MixedFractionParts[x] yields a result when x is any numeric quantity, whether or not it is an explicit number.
  • For exact numeric quantities, MixedFractionParts internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.
  • MixedFractionParts applies separately to real and imaginary parts of complex numbers.
  • MixedFractionParts automatically threads over lists.

Examples

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Basic Examples  (2)

Separate the integer and fractional parts of a real number:

Separate an improper fraction into an integer and a proper fraction:

Scope  (2)

Use exact numeric quantities:

MixedFractionParts threads elementwise over lists:

Generalizations & Extensions  (1)

Negative numbers:

Complex numbers:

Wolfram Research (2019), MixedFractionParts, Wolfram Language function, https://reference.wolfram.com/language/ref/MixedFractionParts.html.

Text

Wolfram Research (2019), MixedFractionParts, Wolfram Language function, https://reference.wolfram.com/language/ref/MixedFractionParts.html.

CMS

Wolfram Language. 2019. "MixedFractionParts." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MixedFractionParts.html.

APA

Wolfram Language. (2019). MixedFractionParts. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MixedFractionParts.html

BibTeX

@misc{reference.wolfram_2022_mixedfractionparts, author="Wolfram Research", title="{MixedFractionParts}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/MixedFractionParts.html}", note=[Accessed: 28-November-2022 ]}

BibLaTeX

@online{reference.wolfram_2022_mixedfractionparts, organization={Wolfram Research}, title={MixedFractionParts}, year={2019}, url={https://reference.wolfram.com/language/ref/MixedFractionParts.html}, note=[Accessed: 28-November-2022 ]}