Let F = 0.841`overline

Question

Let F = 0.841`overline(81)`. When F is written as a fraction in lowest terms. the denominator exceeds the numerator by :

Options:

A . 13

B . 14

C . 29

D . 87

Answer: Option D

0.841`overline(81)` = `(84181 - 841)/(99000)` = `83340/99000` = `463/550`

`:.` Required difference = (550 - 463) = 87.

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