0.423 को एक परिमेय संख्या के रूप में लिखिए।

Explanation

`0.423=.423232323............oo` तक
`=4+.023+00023+.......oo` तक
`=(4)/(10)+(23)/(1000)+(23)/(100000)+.........oo` तक
`=(4)/(10)+(23)/(1000)[1+(1)/(100)+(1)/(10000)+..........oo` तक]
`=(4)/(10)+(23)/(1000)((1)/(1-(1)/(100)))" "[:'S_(oo)=(a)/(1-r)]`
`=(4)/(10)+(23)/(1000)xx(100)/(99)=(4)/(10)+(23)/(990)=(396+23)/(990)=(419)/(990)`