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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) 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.
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.
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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● Representation of a Fraction
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● Addition of Fractions having the Same Denominator
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● Addition and Subtraction of Fractions on the Fraction Number Line
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