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  4. The repeating decimal 0.429642964296 ldots . . represents the fraction ( m /3333) then find value of m.

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Q. The repeating decimal $0.429642964296 \ldots . .$ represents the fraction $\frac{ m }{3333}$ then find value of $m$.

Sequences and Series

Solution:

$x=0.429642964296\,\,\,\,...(i)$
$10000 x=4296.42964296\,\,\,\, ...(ii)$
$9999 x=4296 $
$\Rightarrow x=\frac{1432}{3333}$