Question

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

11 and 42 over 999
11 and 42 over 9999
11 and 42 over 99
11 and 99 over 42

Answer 1

I would ignore the 11 (for the time being)
let
x= 0.424242...

and 100x= 42.42424...

Answer 2

notice that
100x - x = 42.4242... -0.4242.. = 42
or
99x= 42
x= 42/99

so you have the fraction
\[ 11 \ \frac{42}{99} \]

Answer 3

I get it now, thx so much!