Respuesta :

We convert 2.3181818 to fraction as follows: Let x = 2.3181818 . . . . . (1) as can be seen, the repeating digits are 18 Multiply both sides of equation (1) by 1,000 to get 1,000x = 2318.1818 . . . . . (2) Also, multiply both sides of equation (1) by 10 to get 10x = 23.181818 . . . . . (3) Subtract equation (3) from equation (2) to get 990x = 2,295 Thus,

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Answer:

2 7/22

Step-by-step explanation:

let x=2.3181818...

10x=23.181818... (1)

100x=231.81818...

1000x=2318.181818... (2)

(2)-(1) gives

990x=2295

x=2295/990=255/110=51/22=2 7/22

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