Question

Represent 1.232323…… in rational form

Answer 1

Let x be the number, then
x = 1.2323...                        ....1
100x = 123.2323...               .....2  
equation 2 - 1
99x = 122
x = 122/99
 122/99 is the required rational number.

Answer 2

let x =1.232323

100x = 123.232323

100x = 122 + 1.232323

100x= 122 + x

99x = 122

x = 122/99