1.

The fractional value of \(0.\overline{125}\) is-

Answer»

Let x=0⋅125125125
∴1000x=125.125125125...
Subtract 999x=125⋅0000000=125
∴x= 125/999

let a = 0.125125125125125..... (eq.1)

multiplying with 1000 on both the sides, we get

1000a = 125.125125125125.... (eq.2)

now, (eq.2) - (eq.1), we get

999a = 125

a = 125/999


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