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

From Representing Fractions on Number Line to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

    Mar 02, 24 05:31 PM

    Fractions
    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. (Numerato…

    Read More

  2. Subtraction of Fractions having the Same Denominator | Like Fractions

    Mar 02, 24 04:36 PM

    Subtraction of Fractions having the Same Denominator
    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 numera…

    Read More

  3. Addition of Like Fractions | Examples | Worksheet | Answer | Fractions

    Mar 02, 24 03:32 PM

    Adding Like Fractions
    To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

    Read More

  4. Comparison of Unlike Fractions | Compare Unlike Fractions | Examples

    Mar 01, 24 01:42 PM

    Comparison of Unlike Fractions
    In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a nu…

    Read More

  5. Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

    Feb 29, 24 05:12 PM

    Equivalent Fractions
    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 re…

    Read More