Question

Show that 0.23535353……. can be expressed in the form of p/q where p,q are Z and q ≠ 0​

Answer 1

Hey Mate,

The Simple way to solve that type of question is :

No. : 0.235353535...

= > 0.235 ( Bar on 35 bcz it's repeat again and again )

So ,

0.235 = ( 235 - 2 ) / 990

0.235 = ( 235 - 2 ) / 990= > 233 / 990

#Place the two 99 and one 0 because there is bar on two digit ( 35 ) so we have to put two 9's and there is only one digit (2) which doesn't have any bar , so we need to put a 0.

So, the P/ Q form of number 0.235353535... is 233/ 990.