Fractions

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Fractions

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When an object is divided into equal parts, each part is called a fraction of an object

Example of fraction are:

Example of fraction are

Each unit of a fraction has two types:- 1. Numerator 2. Denominator For example:

Each unit of a fraction has two types:- 1. Numerator 2. Denominator For example Numerator Denominator Numerator Denominator

Types of fraction:

Types of fraction Proper fraction Improper fraction Mixed fraction Decimal fraction Vulgar fraction Like fraction Unlike fraction Equivalent fraction

Proper fraction :

Proper fraction If the numerator is less than the denominator, the fraction is a proper fraction For example

Improper fraction :

Improper fraction If the numerator is greater than or equal to the denominator, the fraction is an Improper fraction For example

Mixed fraction :

Mixed fraction Improper fraction can always be written as the sum of the whole number and a proper fraction. For example, the improper fraction can be written 1 + or .In this form the number is called a mixed number or mixed fraction or mixed number Example:- Improper fraction can always be written as the sum of the whole number and a proper fraction. For example, the improper fraction can be written 1 + or .In this form the number is called a mixed number or mixed fraction or mixed number Example:-

Decimal fraction :

Decimal fraction If the denominator of a fraction is 10,100,1000etc,the fraction is called a Decimal fraction For Example:-

Vulgar fraction :

Vulgar fraction If the denominator of a fraction is a whole number other than 10,100,1000 etc., the fraction is called a Vulgar fraction For example:-

Like fraction :

Like fraction Fractions having same denominator are called Like fraction For Example:-

Unlike fraction :

Unlike fraction Fractions having different denominator are called Unlike fraction For example:-

Equivalent fraction :

Equivalent fraction Fraction obtained on multiplying or dividing the numerator and denominator of any fraction with same number, is called and Equivalent fraction For example

Comparison of fraction:-:

Comparison of fraction:- With same denominators With same numerators With different denominators and numerators both

With same denominators:

With same denominators Fraction with larger numerator is greater For example

With same numerators :

With same numerators The fraction with larger denominator is smaller . For example

With different denominators and numerators both :

With different denominators and numerators both We replace the fraction to be compared with equivalent fraction having same denominator and apply rule ‘a’ as stated above For example

Lowest term of a fraction:

Lowest term of a fraction A fraction is an lowest term when the greatest common factor of its numerator and denominator is 1.Any fraction may be reduced to lowest terms by dividing the numerator and denominator by their H.C.F. or dividing the numerator and denominator by any common factor and continue this process until there are no more common factors. For example

Addition and Subtraction of fraction When fraction are like When fraction are unlike

When fraction are like:

When fraction are like Fractions with same denominators can be added or subtracted by simply adding or subtracting the numerator and writing the common denominator as it is. For example

When fraction are unlike:

When fraction are unlike Fractions with different denominators can be added or subtracted by taking the L.C.M. Of denominators For example

Multiplication of fraction :

Multiplication of fraction Multiplication of a fraction by a whole number Multiplication of a fraction by a fraction Multiplication with Mixed fraction

Multiplication of a fraction by a whole number:

Multiplication of a fraction by a whole number If a fraction is multiplied by a whole number then only the numerator of the fraction is multiplied by that number keeping the denominator as it is. For example

Multiplication of a fraction by a fraction :

Multiplication of a fraction by a fraction To multiply one common fraction by another, multiply the numerators together to get the numerator of the product and multiply denominators together to get the denominator of the product i.e., For example

Multiplication with Mixed fraction:

Multiplication with Mixed fraction First we change the mixed fraction and then multiply like simple multiplication of fraction For example

Division of fraction :

Division of fraction For dividing a fraction with some other fraction, we multiplied first fraction (i.e., the dividend) with the other fraction (i.e., divisor). Thus,

Simplification of fraction:

Simplification of fraction To make simplification follow the order shown in the world ‘ BODMAS’ . Here are different letter of the word stand for: B O D M A S Brackets (),{},[] Open Division Multiplication Addition Subtraction Subtraction Subtraction Addition Subtraction Addition Subtraction Multiplication Subtraction Addition Multiplication Subtraction Addition Multiplication Subtraction Open Addition Multiplication Subtraction Division Open Addition Multiplication Subtraction Division Open Addition Multiplication Subtraction Brackets (),{},[] Division Open Addition Multiplication Subtraction

PowerPoint Presentation:

This means, first of all, we should remove the brackets followed by the operation of, division, multiplication, addition and subtraction respectively.