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-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.

$One Third$