FractionalPart Function

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fractionalPart( <Expression> ) 
Returns the fractional part of the expression.
Examples:
  • fractionalPart( 6 / 5 ) yields \mathrm{\mathsf{ \frac{1}{5} }} in Menu view cas.svg CAS View, 0.2 in Menu view algebra.svg Algebra View.
  • fractionalPart( 1/5 + 3/2 + 2 ) yields \mathrm{\mathsf{ \frac{7}{10} }} in Menu view cas.svg CAS View, 0.7 in Menu view algebra.svg Algebra View.
Note:

In Mathematics fractional part function is defined sometimes as

\mathrm{\mathsf{ x-\lfloor x\rfloor }}

In other cases as

\mathrm{\mathsf{ sgn(x)(\mid x\mid-\lfloor \mid x\mid\rfloor) }}.

GeoGebra uses the second definition (also used by Mathematica).
To obtain the first function you may use f(x) = x - floor(x)

See also Predefined Functions and Operators.

Comments

The following picture shows the two possible definitions of fractional part function, the lower one is used in GeoGebra. Fractionalpart.png

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