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0.31 repeating as a fraction

User S Waye
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Is the ones repeating or is there any other numbers involved?

User Saurabh Nemade
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we have been asked to solve

0.31 repeating as a fraction

Let
Let \ x= 0\overline{.31}.......(i)


\\ \text{equation (i) can be re-written as }\\ \\ 100x=31.31.........(ii)\\\\\text{Substract equation (i) from equation (ii) we get}\\\\100x-x=31.31-0.31\\\\99x=31\\\\\text{Divide both the sides by 99 we get}\\\\x=(31)/(99)

User Gareth Jeanne
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