Question

O.3178 ( bar is on 178).. Express it as a fraction

Answer 1

$\huge\bold{ANSWER~:}$

Let,

$x = 0.3178178..$

multiply both sides with 1000.

$1000 \times x = 0.3178178.. \times 1000 \\ \\ 1000x = 317.8178178... \\ \\ 1000x = 307.5 + 0.31783178... \\ \\ 1000x = 317.5 + x \\ \\ 1000x - x = 317.5 \\ \\ 999x = \frac{3175}{10} \\ \\ x = \frac{3175}{9990}$

${\large\color{Red}{Answer~is~\frac{3175}{9990} }}$

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