# CLASS-5DIVISION OF FRACTION

DIVISION OF FRACTION

Before understand the process of Division we have to understand ‘Reciprocal’ or ‘Multiplicative Inverse’ first.  ‘Reciprocal’ or ‘Multiplicative Inverse’ of a fraction is nothing but obtained by interchanging of ‘Numerator’ and ‘Denominator’ or inverting of the given fraction.

Suppose there is a fraction, that is 3/5, but via inverting it becomes 5/3 and it is called ‘Reciprocal’ of ‘Multiplicative Inverse’

There are some example are given below to understand the relation between Original fraction and Reciprocal or Multiplicative Inverse –

Original Fraction                 Multiplicative Inverse OR Reciprocal

5                                    8

1) ------- (Proper fraction)        --------- (Improper fraction)

8                                    5

9                                        7

2) -------- (Improper fraction)        --------- (Proper Fraction)

7                                        9

3                    1

3) 3 (whole number) = --------           -------- (proper fraction)

1                    3

1                            1

4)    1  =   --------                  --------  =   1

1                            1

3           23                                  5

5) 4 ------ = ------- (Complex/Mix Number)  ------- (proper fraction)

5           5                                   23

6)   0                                    0   (don’t have any reciprocal)

Division Of Whole Numbers by a Fraction

1)  Find the number of 1/4  in 2.

1

Ans.)   Number of  1/4 in 2 =    2  ÷  -------

4

2              4                2 x 4

=  --------  x  --------   =   ----------

1              1                1 x 1

8                        [Change the divisor to reciprocal or

=  ----------  =  8  (Ans.)   multiplicative inverse and also change

1           from  ( ÷ ) division sign to multiplication ( x ) sign.]

2)  Find the number of 1/10  in 5.

1

Ans.)  Number of  1/10 in 5 =  5  ÷  -------

10

5              10                10 x 5

= -------   x  --------   =   -----------

1               1                 1 x 1

50                       [Change the divisor to reciprocal or

=   ----------  =   50  (Ans.)  multiplicative inverse and also

1    change from (÷) division sign to multiplication (x) sign.]

3)  Find the number of 1/8  in 4/15.

1               4

Ans.) Number of  1/8 in 4/15  =  --------  ÷  ---------

8              15

1             15                  1 x 15

= -------  x  --------   =     ------------

8              4                   8 x 4

15                    [Change the divisor to reciprocal or

=  ----------  (Ans.)     multiplicative inverse and also change

32             from (÷) division sign to multiplication (x) sign.]