Converting Unlike Fractions into Like Fractions.

CONVERTING UNLIKE FRACTIONS INTO LIKE FRACTIONS:

An Unlike fraction is converted into Equivalent fractions by using the below steps

1. We need to find the L.C.M of the denominators.

2. The given fraction is multiplied with the L.C.M, which gives the new numerator of the given fraction.

3. The required fraction is New numerator upon L.C.M.   

Required Fraction = New Numerator / L.C.M.

 

Convert Unlike fractions into Equivalent fractions:

1) 1/2 , 1/3

Solution:

Given fractions: 1/2 , 1/3 ; Denominators = 2 , 3.  

a. We need to find the L.C.M of the denominators: 2, 3

L.C.M ( 2, 3 ) = 6.

b. New numerator = (Given fraction) x (L.C.M )

  Therefore, Numerator of the fraction 1/2  becomes :  (1/2 ) x 6 = 3  

Numerator of the fraction 1/3 becomes = (1/3 ) x 6 = 2

c. Required fractions = new numerator / L.C.M = 1/2 = 3/6  ;  1/3 = 2/6; Equivalent fractions.

Thus, New Fractions = 3/6 , 2/6 ; Like fractions .  

 

2)  2/5, 3/4, 7/3

Solution:

Given Denominators = 5, 4, 3.

a. L.C.M ( 5, 4, 3 ) = 60.

b. New Numerators = (2/5) x 60 = 24;

      (3/4 ) x 60 = 45 ;  ( 7/3 ) x 60 = 140.

c. Required fractions:

 2/5 = 24 /60  ;  3/4 = 45/60 ;   7/3 = 140/60 ; Equivalent fractions.      

Thus, New fractions : 24/60 , 45/60 , 140/60 ; Like fractions.

 

3) 7/8 , 6/4 , 9/2

Solution:

Given Denominators = 8, 4, 2.

a. L.C.M ( 8, 4, 2 ) = 8.

b. New Numerators =

    (7/8) x 8 = 7 ;   (6/4) x 8 = 12 ;   (9/2) x 8 = 36.

c. Required fractions:

 7/8 = 7/8  ;  6/4 = 12/8 ;  9/2 = 36/8 ; Equivalent fractions.

Thus, New Fractions = 7/8 , 12/8 , 36/8 ; Like fractions.