# MixedFractionParts

MixedFractionParts[expr]

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

# Details

• Mathematical function, suitable for both symbolic and numerical manipulation.
• in effect separates the digits to the left and right of the decimal point.
• Total[MixedFractionParts[x]] is exactly x for numeric 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:

## 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_2024_mixedfractionparts, author="Wolfram Research", title="{MixedFractionParts}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/MixedFractionParts.html}", note=[Accessed: 20-June-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_mixedfractionparts, organization={Wolfram Research}, title={MixedFractionParts}, year={2019}, url={https://reference.wolfram.com/language/ref/MixedFractionParts.html}, note=[Accessed: 20-June-2024 ]}