# 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.

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

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.

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

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

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.

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.

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.

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