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Multiplication of a Whole Number by a Fraction

We will discuss here about the multiplication of a whole number by a fraction.

Now let us learn the multiplication of fractional numbers.

Let us suppose 6 is multiplied by 13

Fractional Multiplication

         represent 1 ................                       represent 6 ................    

Fractional Multiplication Image



13 of 6 means 2

or, 13 of 6 = 13 + 13 + 13 + 13 + 13 + 13                        

                = 1+1+1+1+1+13

                = 63

                = 2

Fractional Multiplication Picture



13 of 6 = 13 × 6 = 2, the shaded portion.

Fraction of a whole number = Numerator of fractionDenominator of fractionWhole number1

Hence we conclude that, to multiply a fractional number by a whole number we multiply the numerator of the fractional number by the whole number and the denominator of the fractional number by 1. The first product thus obtained is the numerator and the second product is the denominator of the required product.


Solved examples on multiplication of a whole number by a fraction:

1. Multiply the following:

(i) 1721 by 7.

= 1721 × 7

= 17×721×1

= 17×13×1

= 173

= 523

(ii) 29 by 3

= 29 × 3

= 2×39×1

= 2×13×1

= 23

 

2. Find the product: 

(i) 23 × 5

= 2×53×1

= 103

= 313

(ii) 129 × 5

= (1 + 29) × 5

= 9+29 × 5

= 119 × 5

= 11×59×1

= 559

= 619

(iii) 356 × 4

= 236 × 4

= 23×46×1

= 23×23×1

= 463

= 1513





5th Grade Numbers 

5th Grade Math Problems 

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