Question

write the value of 0.423(bar on 423) in the form of a simple fraction.

Answer 1

Let x=.423423......(as it has bar on .423..so it means .423423423423..423 is reapeting)
X=.423423.....
1000x=423.423423....(multiplying 1000 to both side)
1000x=423+x(x=.423423....given)
1000x-x=423
999x=423
X=423/999
So .423=423/999

Answer 2

Answer:

Let x=.423423......(as it has bar on .423..so it means .423423423423..423 is reapeting)

X=.423423.....

1000x=423.423423....(multiplying 1000 to both side)

1000x=423+x(x=.423423....given)

1000x-x=423

999x=423

X=423/999

So .423=423/999