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Express the recurring decimal 0.125125 as a rational number?
  1. 125/999
  2. 125/9
  3. 125/99
  4. None of these
Explanation

Let x = 0.125125125...

Multiply x by 1000:

1000x = 125.125125...

Subtract x from 1000x:

999x = 125

Divide by 999:

x = 125/999

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