Question

Convert
$2.0363636......$
to p/q form where p and q are integers and q not equal to 0

Answer 1

let 2.036bar = x

then, multiply by 10 

20.36 bar = 10x

as there are two digits under bar, multiply by 100

100*20.36 bar = 100*10x

2036.36 bar = 1000x

subtract 10x from both sides,

then, it will 2036.36bar = 1000x
                    -20.36bar =     -10x

bar will cancel 

2016 = 990x

2016/990 = x

then, 2.036bar in p/q form is 2016/990



i hope this will help you 


- by ABHAY