# DIVIDING FRACTIONS BY WHOLE NUMBERS

## About "Dividing fractions by whole numbers"

Dividing fractions by whole numbers :

At the initial level learning fractions, it will be difficult for some students to divide a fraction by a whole number.

We can easily divide a fraction by a whole number using the following two methods.

## Method 1

Step 1 :

When we divide a fraction by a whole number, first we have to write the whole number as fraction with denominator 1.

Step 2 :

Change the division sign as multiplication.

Step 3 :

Take reciprocal of the second fraction (Whole number with denominator 1).

Step 4 :

Multiply the two fractions. (Numerator times numerator and denominator times denominator).

## Method 2

To divide a fraction by a whole number,

multiply the denominator of the fraction by the whole number and simplify, if possible.

## Dividing fractions by whole numbers

Example 1 :

Simplify : 2/5 ÷  6

Solution :

Using method 1, we have

2/5 ÷ 6  =  2/5 ÷ 6/1

2/5 ÷ 6  =  2/5 x 1/6

2/5 ÷ 6  =  (2x1) / (5x6)

2/5 ÷ 6  =  1/15

Example 2 :

Simplify : 7/5 ÷ 3

Solution :

Using method 1, we have

7/5 ÷ 3  =  7/5 ÷ 3/1

7/5 ÷ 3  =  7/5 x 1/3

7/5 ÷ 3  =  (7x1) / (5x3)

7/5 ÷ 3  =  7/15

Example 3 :

Simplify : 5/12 ÷ 20

Solution :

Using method 2, we have

5/12 ÷ 20  =  5 / (12x20)

5/12 ÷ 20  =  1/48

Example 4 :

Simplify : 2/19 ÷ 6

Solution :

Using method 2, we have

2/19 ÷ 6  =  2 / (19x6)

2/19 ÷ 6  =  1/57

Example 5 :

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

Solution :

Part of the pizza eaten by David  =  1/4

Remaining pizza  =  3/4

Given : Remaining pizza is divided in to equal parts for his two kids.

So, part of the pizza received by each kid is

=  3/4 ÷ 2

=  3/(4x2)

=  3/8

Hence, each kid will receive 3/8 part of the pizza.

After having gone through the stuff given above, we hope that the students would have understood "Division of fractions by whole numbers".

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