Multiplication of Fractions.

MULTIPLICATION OF FRACTIONAL NUMBERS:

Steps to Multiply Fractions:

i) Multiply the numerators of the given fractions, which is the new numerator.

ii) Multiply the denominators of the given fractions, which is the new denominators.

iii) Simplify the obtained new numerators and denominators into its Lowest terms, if required (cancel out the common factors wherever possible) .

 

Solve the Following:

1)  5/8  x  8/15

Solution:

Given: Numerators = 5, 8 ; Denominators = 8, 15.

New numerator =  5 x 8 = 40.

New Denominator = 8 x 15 = 90.

Thus, required Product is = 40/90 = 4/9.

 

2)  26/33 x 22/39

Solution:

Given: Numerators = 26 , 22 ; Denominators = 33, 39.

Required Product =  (26x22) / (33x39) ; reducing into lowest terms.

                           = 4/9;  (26/39 = 2/3 ; 22/33 = 2/3; Thus: (2/3) x (2/3) = 4/9).

 

3)  (2/11) x  (3 /4).

Solution:

Given : Numerators = 2, 3 ; Denominators = 11, 4

 Required Product = (2x3) / (11x4) ; reducing into Lowest terms

                               =  (1x3) / (11x2)  ( Since : 2/4 = 1 /2)

                              = 3 / 22.

 

4)  1/5  x  3/ 4

Solution:

Given: Numerator = 1, 3 ; Denominator = 5, 4.

Required Product =  (1x3) / (5x4)

                                = 3 / 20.

 

5)  7/7 x  2/6

Solution:

Given: Numerator = 7, 2 ; Denominator = 7, 6.

Required Product = (7x2) / (7x6); reducing into lowest terms.

                               = 1/3.  (7/7 = 1; 2/6 = 1/3; Thus: 1 x 1/3 =1/3).