(i) Let x = 0.00323232...
On multiplying the above equation by 100 we get
100x = 0.3232...
On multiplying the above equation by 100 we get
10000x = 32.3232...
∴ 10000x – 100x = (32.32...) - (0.3232…)
⇒9900x=32
∴x=329900=82475 [ Dividing numerator and denominator by 4]
(ii) Let x=0.404040...
On Multiplying the above equation by 100, we get
100x=40.4040...
⇒100x-x=(40.4040...) - (0.404040...)
⇒99x=40
∴x=4099