Question

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

Answer 1

Explanation:

x = 11.424242......

Number of digits that is repeating is 2. So multiply both sides by 100

100x = 1142.4242.......

x = 11.4242......... {subtract both equations}

99x = 1131

x = 1131/99

x = 377/33 {simplest form}