Division of a Whole number by a Fraction.

DIVISION OF A WHOLE NUMBER BY A FRACTION:

Steps to find Division of whole number by a fraction:

i) Find out the reciprocal of the fraction.

ii) Multiply the whole number with reciprocal of the fraction.

iii) Simplify into its lowest terms.

Required Answer = Whole number x Reciprocal of the Fraction.

 

Solve the following:

1) 8 ÷  1/5

Solution:

Given: Whole number = 8; Fraction = 1/5.  

i) Reciprocal of the fraction = 5.

ii) Multiplying whole number with reciprocal of the fraction.

  8 x 5 = 40 , required answer.        

 

2) 5 ÷   1/6

Solution:

Given: Whole number = 5 ; Fraction = 1/6.

Reciprocal of the fraction = 6.

Required Answer = Whole number x Reciprocal of the fraction.

                                =  5 x 6 = 30.

 

3) 9 ÷  2/3

Solution:

Given: Whole number = 9 ; Fraction = 2/3.

Reciprocal of the fraction = 3/2.

Required answer = Whole number x Reciprocal of the fraction.

                             = 9 x  (3/2) = 27/2.

 

4) 4 ÷ 2/3

Solution:

Given: Whole number = 4 ; Fraction = 2/3.

Reciprocal of the fraction = 3/2.

Required answer = Whole number x Reciprocal of the fraction.

                             = 4 x (3/2) = 6.