Fraction of a Whole Numbers
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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The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
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
To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example \(\frac{7}{13}\) > \(\frac{2}{13}\) because 7 > 2. In comparison of like fractions here are some
In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 < 3/5 < 3/4 or 3/4 > 3/5 > 3/10 In the fractions having the same numerator, that fraction is
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
In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions. This exercise sheet on equivalent fractions can be practiced by the students to get more ideas to change the fractions into equivalent fractions.
In worksheet on addition of fractions having the same denominator, all grade students can practice the questions on adding fractions. This exercise sheet on fractions can be practiced by the students to get more ideas how to add fractions with the same denominators.
In worksheet on subtraction of fractions having the same denominator, all grade students can practice the questions on subtracting fractions. This exercise sheet on fractions can be practiced by the students to get more ideas how to subtract fractions with the same
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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