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:

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