`frac`

Fractional part of a symbolic number or expression.

Syntax

f = frac(x)

Returns x - fix(x): the part after the decimal point, with the sign of x.

Description

The fractional part keeps the sign of the argument, so frac(7/3) is 1/3 and frac(-7/3) is -1/3. For a symbolic variable the result stays unevaluated as x - fix(x). Unlike mod(x, 1), which is never negative, frac is odd in its argument.

Input arguments

x: Symbolic number, variable or expression.

Output arguments

f: Symbolic result, exact for rational input.

Example

Fractional parts

frac(sym(7)/3)
frac(sym(-7)/3)
syms x
frac(x)

Output

ans = 1/3
ans = -1/3
ans = x - fix(x)

Notes

frac accepts only symbolic arguments in MatLivre; a plain double raises an error. Use sym first.

frac