we have been asked to solve
0.31 repeating as a fraction
Let [tex] Let \ x= 0\overline{.31} [/tex].......(i)
[tex] \\ \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} [/tex]
