# DIVIDING FRACTIONS

Dividing fractions :

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 method explained below.

## Dividing fractions - Method

Step 1 :

When we divide a fraction by another fraction, first we have to change the division sign as multiplication.

Step 2 :

Take reciprocal of the second fraction.

Step 3 :

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

## Dividing fractions - Examples

Example 1 :

Simplify : 2/5 ÷  6/7

Solution :

Using the method explained above, we have

2/5 ÷ 6/7  =  2/5 x 7/6

2/5 ÷ 6/7  =  (2x7) / (5x6)

2/5 ÷ 6/7  =  7/15

Example 2 :

Simplify : 7/5 ÷ 3/2

Solution :

Using the method explained above, we have

7/5 ÷ 3/2  =  7/5 x 2/3

7/5 ÷ 3/2  =  (7x2) / (5x3)

7/5 ÷ 3/2  =  14/15

Example 3 :

Simplify : 5/12 ÷ 20/13

Solution :

Using the method explained above, we have

5/12 ÷ 20/13  =  5/12 ÷ 20/13

5/12 ÷ 20/13  =  5/12 x 13/20

5/12 ÷ 20/13  =  (5x13) /  (12x20)

5/12 ÷ 20/13  =  13/48

Example 4 :

Simplify : 2/19 ÷ 6 1/2

Solution :

First, let us convert the mixed number 6 1/2 in to improper fraction.

6 1/2  =  13/2

Now,m we have 2/19 ÷ 6 1/2  =  2/19 ÷ 13/2

Using the method explained above, we have

2/19 ÷ 13/2 =  2/19 x 13//2

2/19 ÷ 13/2 =  (2x13) / (19x2)

2/19 ÷ 13/2 =  13 / 19

Example 5 :

David can make one pizza in 1/2 hour. How many pizzas can he make in 5/2 hours ?

Solution :

Time taken to make one pizza  =  1/2 hour

No. of pizzas made in 5/2 hours  =  5/2 ÷ 1/2

No. of pizzas made in 5/2 hours  =  5/2 x 2/1

No. of pizzas made in 5/2 hours  =  (5x2) / (2x1)

No. of pizzas made in 5/2 hours  =  5

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

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