Let’s
x=0.123…..(bar 23) (1)
Multiplying both side by 100
100x=1.23….(bar 23)(2)
Multiplying both side by 1000
1000x=123.23……..(3)
Subtract (2) from (3)
1000x-100x=123.23-1.23
990x=122
X=122/990answer

sweta bhardwaj (anonymous)

Let X = 0.123(bar on 23)
10X = 1.23(bar on 23)
10X = 1+0.23(bar on 23)
10X = 1+23/99
10X = 99+23/99
10X = 122/99
x = 122/99*10
x = 122/990

Anonymous

It is 990x not 9990x.

Anonymous

hi

Anonymous

Let x=0.123 (bar on 23)
10×=1.23 (bar on 23) (1)
1000×=123.23(bar on 23) (2)
Subtract 2 from 1
1000×-10×=123.23…-1.23…
990×=122
×=122/990 which is in fraction form