Subscribe to our YouTube channel for the latest videos, updates, and tips.
Representations of Fractions on a Number Line
In representations of fractions on a number line we can show fractions on a number line.
We have learnt the representation of whole numbers on the number line. Now, we will learn the representation of fractions on number line.
In order to represent \(\frac{1}{2}\) on the number line, draw the number line and mark a point A to represent 1.
Now, divide the gap between O and A into two equal parts. Let T be the point of division. Then, point T represents \(\frac{1}{2}\).
To represent \(\frac{1}{3}\) on a number line, we divide the gap between O and A into 3 equal parts. Let T and Q be the points of division. Then, T represents \(\frac{1}{3}\) and Q represents \(\frac{2}{3}\), because \(\frac{2}{3}\) means 2 parts out of 3 equal parts as shown below.
By using the same procedure, point O represents \(\frac{0}{3}\) and point A represents \(\frac{3}{3}\).
Thus, we have \(\frac{0}{3}\) = 0 and \(\frac{3}{3}\) = 1.
In order to represent \(\frac{3}{5}\) on a number line, we divide the gap between 0 and 1 into 5 equal parts and take first 3 parts from 0 as shown below.
Fraction \(\frac{3}{5}\) on a Number Line
Consider the fractions, \(\frac{1}{2}\), \(\frac{1}{3}\) and \(\frac{2}{3}\).
Each of them is greater than 0 and less than 1, so each of them lies between 0 and 1.
We draw a number line and mark two points on it and name them as 0 and 1.
1. Represent \(\frac{1}{2}\) on the Number Line:
To represent \(\frac{1}{2}\) on the number line, we divide the gap between 0 and 1 into two equal parts.
Let A be the point of division.
Then A represents \(\frac{1}{2}\)
See below figure:
2. Represent \(\frac{1}{3}\) and \(\frac{2}{3}\) on the Number Line:
To represent \(\frac{1}{3}\) on a number line, we divide the gap between O and C into 3 equal parts. Let A and B be the points of division. Then, A represents \(\frac{1}{3}\) and B represents \(\frac{2}{3}\)
Then, OC = 1 or \(\frac{3}{3}\);
OA = AB = BC = \(\frac{1}{3}\) and
OB = OA + AB = \(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)
3. Represent \(\frac{3}{5}\) on the Number Line:
Again to present \(\frac{3}{5}\) on a number line, we divide the gap between 0 and 1 into 5 equal parts and take first 3 parts from 0 as shown in the figure.
Thus, point C represents \(\frac{3}{5}\)
You might like these
Conversion of Mixed Fractions into Improper Fractions |Solved Examples
To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the proper fraction and then to the product add the numerator of the fraction to get the numerator of the improper fraction. I
Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction
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.
5th Grade Fractions | Definition | Examples | Word Problems |Worksheet
In 5th Grade Fractions we will discuss about definition of fraction, concept of fractions and different types of examples on fractions. A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
Word Problems on Fraction | Math Fraction Word Problems |Fraction Math
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
Conversion of Improper Fractions into Mixed Fractions |Solved Examples
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 and obtain the quotient and remainder. Step III: Write the mixed fraction
Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples
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
Subtraction of Fractions having the Same Denominator | Like Fractions
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.
Comparison of Like Fractions | Comparing Fractions | Like 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
Comparison of Fractions having the same Numerator|Ordering of Fraction
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
Worksheet on Comparison of Like Fractions | Greater & Smaller Fraction
In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced
Like and Unlike Fractions | Like Fractions |Unlike Fractions |Examples
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
Fraction of a Whole Numbers | Fractional Number |Examples with Picture
Fraction of a whole numbers are explained here with 4 following examples. 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
Representation of a Fraction | Numerator/Denominator | Simple Fraction
Representation of a fraction is discussed here. In a simple fraction, there is a horizontal line. Above this line we write a number which is called the numerator. Below this line we write another number which is called the denominator.
Worksheet on Fractions | Questions on Fractions | Representation | Ans
In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced
Comparing Unlike Fractions | Unlike Fractions | Equivalent Fraction
In comparing unlike fractions, we first convert them into like fractions by using the following steps and then compare them. Step I: Obtain the denominators of the fractions and find their LCM (least common multiple). Step II: Each fractions are converted to its equivalent
● Fraction
Representations of Fractions on a Number Line
Conversion of Mixed Fractions into Improper Fractions
Conversion of Improper Fractions into Mixed Fractions
Interesting Fact about Equivalent Fractions
Addition and Subtraction of Like Fractions
Addition and Subtraction of Unlike Fractions
Inserting a Fraction between Two Given Fractions
6th Grade Page
From Representations of Fractions on a Number Line to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Rounding Decimals | Questions Related to Round a Decimal
May 14, 25 04:21 PM
The worksheet on rounding decimals would be really good for the students to practice huge number of questions related to round a decimal. This worksheet include questions related -
Rounding Decimals | How to Round a Decimal? | Rounding off Decimal
May 14, 25 03:01 PM
Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate -
Worksheet on Rounding Off Number | Rounding off Number | Nearest 10
May 14, 25 12:50 PM
In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to -
Rounding Off to the Nearest Whole Number | Nearest 10, 100, and 1000
May 13, 25 03:43 PM
Here we will learn how to rounding off to the nearest whole number? -
Conversion of Improper Fractions into Mixed Fractions |Solved Examples
May 12, 25 04:52 AM
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 and obtain the quotient…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.