Question

Convert 11.42424242 to a rational expression

Answer 1

Well,
`11.42424242` is a rational expression already. Of course:

`11.42424242 = 11+(42424242)/(10^8) = (1142424242)/(10^8)`.

But maybe you mean
`11.\overline{42} = 11.4242\dots` So:

`x = 11.\overline{42} \iff 100x = 1142.\overline{42} \iff 99x = 1131 \iff x = (1131)/(99) = (377)/(33)`