MixedFractionParts

✖
`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

open allclose all

Basic Examples (2)Summary of the most common use cases

Separate the integer and fractional parts of a real number:

In[1]:=1

✖

https://wolfram.com/xid/0ixbokwtng04cj7-1q5zxp

Out[1]=1

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

In[1]:=1

✖

https://wolfram.com/xid/0ixbokwtng04cj7-4vahau

Out[1]=1

Scope (2)Survey of the scope of standard use cases

Use exact numeric quantities:

In[1]:=1

✖

https://wolfram.com/xid/0ixbokwtng04cj7-bsc

Out[1]=1

MixedFractionParts threads elementwise over lists:

In[1]:=1

✖

https://wolfram.com/xid/0ixbokwtng04cj7-hbk

Out[1]=1

Generalizations & Extensions (1)Generalized and extended use cases

Negative numbers:

In[1]:=1

✖

https://wolfram.com/xid/0ixbokwtng04cj7-ino0ij

Out[1]=1

Complex numbers:

In[2]:=2

✖

https://wolfram.com/xid/0ixbokwtng04cj7-gt7

Out[2]=2

Top