Question

Q 3.4

Answer 1

0. 762 = 0.762626262626262.............. Upto infinity

= 0.7 + 0.062 + 0.00062 + 0.0000062 +............Upto infinity

`=7/10+62/1000+62/100000+62/10000000`..............Upto infinity

`=7/10+62/1000[1+1/100+1/10000+.............."Upto infinity"]`

`=7/10+62/1000[1/(1-1/100)]`        ........`[(1/100)/1=1/100]`

`=7/10+62/1000xx100/99`

`=7/10+62/990`

`=(693+62)/990`

`=755/990`

`=151/198`