Question

0.31 repeating as a fraction

Answer 1

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

Answer 2

we have been asked to solve

0.31 repeating as a fraction

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

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