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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

Respuesta :

Hrishii

[tex]x = 11\frac{42}{99} [/tex]

Step-by-step explanation:

[tex]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 = \frac{1131}{99} \\x = 11\frac{42}{99} \\ [/tex]

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