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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 12 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 12.

Representations of Fractions on a Number Line

To represent 13 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 13 and Q represents 23, because 23 means 2 parts out of 3 equal parts as shown below.

Fractions on a Number Line

By using the same procedure, point O represents 03 and point A represents 33

Thus, we have 03 = 0 and 33 = 1.

Representations of Fractions on a Number Line

In order to represent 35 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.

Represent 3/5 on a Number Line

Fraction 35 on a Number Line


Consider the fractions, 12, 13 and 23.

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 12 on the Number Line:

To represent 12 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 12

See below figure:

Fraction 1/2 on the Number Line


2. Represent 13 and 23 on the Number Line:

To represent 13 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 13 and B represents 23

Represent 1/3 and 2/3 on the Number Line

Then, OC = 1 or 33;

         OA = AB = BC = 13 and

         OB = OA + AB = 13 + 13 = 23


3. Represent 35 on the Number Line:

Again to present 35 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.

Represent 3/5 on the Number Line

Thus, point C represents 35



You might like these

Fraction

Representations of Fractions on a Number Line

Fraction as Division

Types of Fractions

Conversion of Mixed Fractions into Improper Fractions

Conversion of Improper Fractions into Mixed Fractions

Equivalent Fractions

Interesting Fact about Equivalent Fractions

Fractions in Lowest Terms

Like and Unlike Fractions

Comparing Like Fractions

Comparing Unlike Fractions

Addition and Subtraction of Like Fractions

Addition and Subtraction of Unlike Fractions

Inserting a Fraction between Two Given Fractions




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