Question

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

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

Answer 1

Answer: C

Step-by-step explanation: I did the test

Answer 2

`x = 11(42)/(99)`

Explanation:

`11.42424242.... = 11. \overline{42} \\ let \: x = 11. \overline{42} .....(1)\\ 100x = 1142.\overline{42}....(2) \\ subtracting \: (1) \: from \: (2) \: \\ 100x - x = 1142.\overline{42} - 11. \overline{42} \\ 99x = 1131 \\ x = (1131)/(99) \\x = 11(42)/(99) \\`