Question

Conver 11.42424242 … to a rational expression in the form of a/b , where b / 0.

Answer 1

We want to convert 11.42424242... to a fraction.

This is a repeating decimal, so do do this we first ignore, for now, the interger part.

So let's work with 0.424242... at first.

We can see that the repeating pattern is "42". Since this is a two-algarism pattern, to get the fraction for it we put the repeating pattern divided by repeating 9 with the same number of algarisms, in this case, two.

So:

`0.424242\ldots=(42)/(99)`

Now, we can't forget the integer part, which is "11". So, we put them together to get the final answer:

`11.424242\ldots=11(42)/(99)`

This corresponds to the third alternative.