Question

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

Answer 1

If x = 11.424242…, then 100x = 1142.424242…. So you have

100x - x = 1142.424242… - 11.424242…

99x = 1131

x = 1131/99 = 377/33