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Marysya12 [62]
3 years ago
12

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

Mathematics
1 answer:
babymother [125]3 years ago
3 0

x =  11\frac{42}{99}

Step-by-step 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 =  \frac{1131}{99}  \\x =  11\frac{42}{99}  \\

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