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babunello [35]
3 years ago
11

0.31 repeating as a fraction

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0
Is the ones repeating or is there any other numbers involved?

ollegr [7]3 years ago
4 0

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=\frac{31}{99}

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