Question

How do you write 0.4747... as a fraction?

Answer 1

Let `x=0.474747...`

Then `100x = 47.4747...`

`100x - x = 47.4747... - 0.4747...`

`99x = 47`

`x = (47)/(99)`

That is
`0.4747... = (47)/(99)`