Representing Fractions on Number Line

Representing fractions on number line shows the intervals between two integers which will help us to increase the basic concept on formation of fractional numbers.

1. Represent the fractions: 2/5, 11/5, -8/5 and -3/5 on a number line.

Since, the denominator of each given fraction is 5; divide the space between every pair of two consecutive integers (on the number line) in 5 equal parts. Each part so obtained will represent the fraction 1/5 and the number line obtained will be of the form:

Representing Fractions on Number Line

To mark 2/5; move two parts on the right-side of zero.

To mark 11/5; move eleven parts on the right-side of zero.

To mark -8/5; move eight parts on the left-side of zero.

To mark -3/5; move three parts on the left-side of zero.


The following diagram shows markings of fractions 2/5, 11/5, -8/5 and -3/5 on a number line.

Fractions on Number Line


2. Represent the following fractions: 1/4, 7/4, -3/4 and -9/4 on a number line.

Since, the denominator of each given fraction is 4; divide the space between every pairs of two consecutive integers (on the number line) in 4 equal parts. Each part so obtained will represent the fraction 1/4 and the number line obtained will be of the form:

Fractions on the Number Line

To mark 1/4; move one part on the right-side of zero.

To mark 7/4; move seven parts on the right-side of zero.

To mark -3/4; move three parts on the left-side of zero.

To mark -9/4; move nine parts on the left-side of zero.


The following diagram shows markings of fractions 1/4, 7/4, -3/4 and -9/4 on a number line.

Fractions and Number Line


3. Draw a number line to represent fractions: 3/8, 5/8, -1  3/8, -7/8

Since, the denominator of each given fraction is 8; divide the space between every pairs of two consecutive integers (on the number line) in 8 equal parts. Each part so obtained will represent the fraction 1/8 and the number line obtained will be of the form:

Fraction Number Line

To mark 3/8; move three parts on the right-side of zero.

To mark 5/8; move five parts on the right-side of zero.

To mark -1  3/8 i.e. -11/8; move eleven parts on the left-side of zero.

To mark -7/8; move seven parts on the left-side of zero.


The following diagram shows markings of fractions 3/8, 5/8, -1  3/8, -7/8 on a number line.

Fractions on a Single Number Line

So, in representing fractions on number line we have learnt how to draw any fractional points on the number line.








6th Grade Math Practice

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