Method to convert rational number into an equivalent rational number with a given numerator or denominator.

 

In this article, I am going to describe how you will convert rational number into an equivalent rational number with a given numerator or denominator. I am going to describe it n an easy way with suitable examples. 

Q. Convert a given rational number into an equivalent rational number.

a. 3/5 =  12/ ?

Sol- Step1 -  Take numerator part of L.H.S = 3 

       Step2 - Compare numerator part of LHS i.e., 3 with Numerator part with R.H.S i.e., 12.

      Step 3- Just read the table of 3 till 12 comes. i.e., 4 times .

      or, 3 * ? = 12 

    or, ? = 12/3 = 4 

   Step 4-   Now , multiply 5 by 4 = 20 

            Hence, denominator part of ? = 20.

     3/5 =  12/20 Ans

Q. Convert 36/96  = 3 / ?  into an equivalent rational number?

=  Step 1- Compare left-hand side numerator with right hand side numerator part.

    i.e.,   36 = 3 

     36 is how much times 3.

     36 = 3 * ? 

or, ? = 36/3 = 12 

Step 2-  similarly,  ? *  12 = 96 

                     or, * = 96/12 = 8 

Hence, 36/96 = 3/8