Question

express in p/q form -
1.235
( bar is on 235 )

Answer 1

let the number be X
         ___
X = 1. 235
 multiply X with 1000
1000X = 1235.235235......
subtract 1000X with X
⇒999X = 1234
⇒X = 1234/999

Answer 2

Let x=1.235bar = 1.23523523523523........
multiply x by 1000
1000x = 1000 × 1.235235235.....
⇒1000x = 1235.235235235235.....

subtract x from 1000x
1000x-x = 1235.235235235... - 1.235235235...
⇒999x = 1234
⇒x=1234/999