Multiplication of a Whole number by a Fractional number.

MULTIPLICATION OF A WHOLE NUMBER BY A FRACTIONAL NUMBER:

Steps to multiply a whole number by a fractional number:

i) Write the whole number as a fractional number.

ii) Multiply the numerators of the fractions.

iii) Multiply the denominators of the fractions.

iv) Simplify into lowest terms.

 

Find the Product:

1) 10 x  3/5

Solution:

Given: whole number = 10 ; fraction = 3/5.

Required product = 10/1 x 3/5 = (10x3) / 5 = 30/5 = 6.

2) 16 x  5/4

Solution:

Given: Whole number = 16 ;  fraction = 5/4.

Required Product = 16/1  x  5/4 =  ( 16x5 ) / 4 = 20.

 

3) 6 2/7  of 7.

Solution:

Given: Whole number = 7; mixed fraction = 6 2/7.

Converting mixed fraction into fraction:

((Whole number x denominator) + numerator ) / denominator.

Whole number = 6 ; numerator = 2 ; denominator = 7.

 6 2/7 = 44/7.

Required Product = 7 of  44/7 =  7 x  44/7  

                              = ( 7/1  x  44/7 ) = 44.

 

4) 1 1/15  of  15

Solution:

Given: Whole number = 15 ; Mixed fraction = 1 1/15

Converting mixed fraction into fraction:

1 1/15 = 16/15.

Required Product = 15  of  16/15  =  15 x  16/15

                              = ( 15/1  x  16/15 ) =  16.

 

5)  5 1/5 of 10.

Solution:

Given: Whole number = 10; Mixed fraction = 5 1/5.

Converting mixed fraction into fraction:

5 1/5 = 26/5.

Required Product = 10 of  26/5 = 10  x  26/5

                              = ( 10/1  x  26/5 ) = 2 x 26 = 52.