Question

Q 3.5

Answer 1

0.027= 0.02777777777.............. Upto infinity

= 0.02 + 0.007 + 0.0007 + 0.00007 +............Upto infinity

`=2/100+7/1000+7/10000+7/100000`..............Upto infinity

`=2/100+7/1000[1+1/10+1/100+.............."Upto infinity"]`

`=2/100+7/1000[1/(1-1/10)]`        ........`[(1/10)/1=1/100]`

`=2/100+7/1000xx10/9`

`=2/10+7/900`

`=(18+7)/900`

`=25/900`

`=1/36`