Concept of Fraction as a Division


Fraction and division are related to each other. Let's see how.

Example:

   Show that 3 ÷ 4 =  3
4
  .
   Let's suppose we have 3 pizzas that are divided equally among 4 friends => 3 ÷ 4.
   We will show that each friend gets =>  3
4
  of a pizza





3 pizzas are divided among 4 friends.

So, each of the friend gets 1/4 of each of the 3 pizzas.
   3 ÷ 4

 = 1
4
  of 3 (pizzas)

 = 1
4
  ×  3

 = 1
4
  ×  3
1

 = 1 × 3
4 × 1

 = 3
4

Therefore, each friend gets  3
4
  of a pizza.