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

Fraction of a whole numbers are explained here with 4 following examples.
(i)
There are three shapes:
(a) circleshape
(b) rectangleshape and
(c) squareshape
Each
one is divided into 4 equal parts. One part is shaded, i.e., onefourth
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.
2/5 means 2 parts out of 5 equal parts. We read it
twofifths or two by five.
(iii) There is a collection of 7 glasses, of which 4 glasses are colorful.
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.
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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In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator
The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded
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Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called
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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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