Question

express 0.254545.......as a fraction in simplest form
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Answer 1

hope this will help you in doing the sum

Answer 2

Let,

$x=0.254545\dots\ =0.25\overline{45}$

On multiplying by 100, we get,

$100x=25.4545\dots\ =25.\overline{45}$

Then we take the difference of both $x$ and $100x.$ So,

$100x-x=25.\overline{45}-0.25\overline{45}\\\\\\99x=25.2\\\\\\x=\dfrac{25.2}{99}\\\\\\\large\boxed{x=\mathbf{\dfrac{14}{55}}}$