Question

Express 8.3252525 in the form of p/q where p and q are integers and q is not equal to 0.

Answer 1

Lets say 8.32525...= x

Eliminate the decimals:

Hence,    10x =83.2525...
and 1000 x  =8325.2525..

Therefore 1000x-10x = 990x   
           similary 8325.2525..- 83.2525...= 8242
     
 Therefore 990x = 8242
                       x= 8242/990
           
                         =4121/495