Concept of Fractions

Concept of fractions will help us to express different fractional parts of a whole.

One-half

When an article or a collection of objects is divided into two equal parts is called as half of the whole. We express one half by the symbol 1/2.

One-half as 1/2

For example, suppose the cake is cut into two equal parts. Each part is called one half of the cake. We write one-half as 1/2.


Half of a Collection:

A fraction is a part of the whole or part of a collection. 

Half of a Collection

A collection of objects can be divided into two equal parts.

One Half of the Collection
One Half of the Collection

One-Third

When we divide a whole or a group into three equal parts, each part is called one-third of the whole or a group. We express one third by the symbol 1/3.

One-third as 1/3

For example, suppose the biscuit is cut into three equal parts. Each part is called one third of the biscuit. We write one-third as 1/3

Again,

Look at the figures below and find out how many equal parts are there? We find that in each of the following figures the whole is divided into three equal parts.

Three Equal Parts

Each shaded part is one-third of the whole.

One-Third of the Whole

When an object is divided into three equal parts, each part is called one-third of the object. It is written as \(\frac{1}{3}\). It is read as one-third.


One-third of a Collection:

One-Third of a Collection
One-Third of the Collection

One Fourth

When we divide a whole or a group into four equal parts, each part is called as one fourth of the whole or the group. We express one fourth by the symbol ¼

One-fourth as 1/4

For example, suppose the pizza is cut into four equal parts. Each part is one-fourth or one-quarter of the pizza. We write one-fourth as ¼.


There are four members in Michael's family. Michael divides a pizza into 4 equal parts and each one of them gets equal share. When a whole is divided into 4 equal parts, and each part is called one-quarter.

One-Quarter


      One-quarter is one of four equal parts.

      It is written as \(\frac{1}{4}\).

      It is read as one-quarter or one-fourth.

One Whole and One-Fourth


One-Fourth of a Collection:

One-Fourth of a Collection

Two-third

When we divide a whole or a group into three equal parts, two parts combined together represent two thirds. We express two thirds by the symbol 2/3.

 

Three-fourths

When we divide a whole or a group into four equal parts, three parts combined together represent three fourths. We express three fourths by the symbol 3/4.      

 

Note: The symbol 1/2, 1/3, 1/4, 2/3, 2/4, etc. are called fractions.

Fractions (third)


1/3 tells 1 part out of 3 equal parts.





2/3 tells 2 parts out of 3 equal parts. 




3/3 tells 3 parts out of 3 equal parts.

One Third
Two Third
Three Third

Fractions (fourth)


1/4 tells 1 part out of 4 equal parts.





2/4 tells 2 parts out of 4 equal parts.





3/4 tells 3 parts out of 4 equal parts.





4/4 tells 4 parts out of 4 equal parts.

One Fourth
Two Fourth
Three Fourth
Four Fourth

The basic concept of fractions are explained above along with the pictures.

Fractional Numbers

Concept of Fractions

Numerator and Denominator 






2nd Grade Math Practice

From Concept of Fractions 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.



Share this page: What’s this?

Recent Articles

  1. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Apr 20, 24 05:39 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  2. What are Parallel Lines in Geometry? | Two Parallel Lines | Examples

    Apr 20, 24 05:29 PM

    Examples of Parallel Lines
    In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other

    Read More

  3. Perpendicular Lines | What are Perpendicular Lines in Geometry?|Symbol

    Apr 19, 24 04:01 PM

    Perpendicular Lines
    In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two…

    Read More

  4. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 19, 24 01:50 PM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

  5. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Apr 19, 24 01:22 PM

    Square - Polygon
    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More