Question

0.123(a bar on 3) is equal to:
a)122 / 990
b)122 / 100
c)122 / 99
d)None of these
Explain

Answer 1

Let x= 0.12333333...--(1)
Multiply (1) with 100
100x=12.3333....(2)
Multiply (2) with 10
1000x =123.3333....(3)
Subtract (2) from (3)
900x=111
x=111/900
Divide numerator and denominator with 3
x=37/300
Option D is correct

Answer 2

0.123(bar on 3)
let x=0.123(bar on 3)
x=0.123333......---------(1)
multiply 10 on both sides
10*x=10*0.12333...
10x=1.2333.....---------(2)
(2)–(1)
10x=1.2333...
x=0.1233...
__________
9x=1.11
x=1.11/9
x=111/900

option (d) is correct
none of these