In this article, we are going to learn in depth about definition of fractional part function, derivation for fractional part function, the properties of the fractional part function, domain and range of fractional part function, graph of fractional part function, and its formula. We will also solve some MCQ based problems on the fractional part of x function for a depth knowledge and understanding of the concept.

we can write a real number x as

x = [x] + {x}

Where

x = Any real number

[x] = Integral part of x

{x} = Fractional part of x

Definition

The Fractional Part of x Function is a function in mathematics which is defined as the difference of a real number x and its integral value.

In Other words, the fractional part of x function {x} is defined as difference between x and Greatest integer function of x

{x} = x – [x]

Where [x] Denotes Greatest Integer Function of x, and {x} Denotes Fractional Part of x Function.

Fractional Part of x Function is also known as Decimal Part of x Function.

Fractional part of x Function also denoted as frac(x)

Domain of Fractional part of x Function is x belongs to Real number R (- ∞ ∞ )

Range of Fractional Part of x Function is [0 1)

In Mathematics Fractional Part of x Function can be represented as

f(x) = {x}

Fractional part Function {x} : Symbol for Representation

Symbol for representation of fractional part will be { }

And Fractional part of x can be represented as f(x) = {x}

Fractional part of 4.75 can be represented as {4.75}

Fractional part of -7.24 can be represented as {-7.24}

Fractional part Function {x} : Mathematical Calculation

Domain

Range

Fractional part Function {x} : Graph

Fractional part Function {x} : Properties

Fractional part Function {x} : Examples

Fractional part Function {x} : Limit Continuity and Differentiability

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