Fraction of a Whole Numbers

Fraction is a part of a whole. The whole can be a single object or a collection of objects.

A Whole Cake
A Collection of Apples

A Whole Cake

A Collection of Apples


Fraction of a whole numbers are explained here with 4 following examples.

(i)

Fraction of a Whole Numbers


There are three shapes:

(a) circle-shape

(b) rectangle-shape and

(c) square-shape

Each one is divided into 4 equal parts. One part is shaded, i.e., one-fourth of the shape is shaded and three parts of the shape is unshaded.

We say that, 1/4 of the shape is shaded and 3/4 of the shape is unshaded.

This 1/4 or 3/4 is a fraction or a fractional number.

1/4 = Out of 4 equal parts of a whole, one part is taken.

3/4 = Out of 4 equal parts of a whole, 3 parts are taken.


(ii) The rectangular shape is divided into 5 equal parts. 2 parts of this rectangle are shaded. The total parts of a whole are 5. Each equal part of the whole shape is 1/5. Two equal parts (shaded part) of the whole is 2/5. Three equal parts (unshaded parts) of the whole is 3/5.

Fractional Number

2/5 means 2 parts out of 5 equal parts. We read it two-fifths or two by five.


(iii) There is a collection of 7 glasses, of which 4 glasses are colorful.

Fraction

Thus, 4/7 part of the collection of 7 glasses are coloured.


(iv) There are 12 hearts in a collection. 5 hearts are in shaded parts.

Fraction

5 out of 12 hearts are in shaded portion and the rest 7 out of 12 hearts are in unshaded portion.

They represent 5/12 and 7/12 as fractions.


A fraction is a number written as a quotient of a pair of natural numbers.

For example; \(\frac{3}{4}\), \(\frac{5}{6}\), \(\frac{2}{8}\), etc.


The number written above the horizontal line is called Numerator.

The number written below the horizontal line is called Denominator.

In the fraction; \(\frac{3}{4}\)

                       3 is the Numerator and 

                       4 is the Denominator.

The Numerator and Denominator are sometimes called as the terms of the fractions.

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Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line



4th Grade Math Activities

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