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Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0. (4 points)
8 and 132 over 99
8 and 132 over 999
8 and 1321 over 9999
8 and 999 over 132

Respuesta :

musiclover10045

8 would become the whole number, since there are 3 repeating numbers you would put those over 999.

So you would get 8 and 132/999

Answer:

8 and 132 over 999.(option b)

Step-by-step explanation:

8.132132132......

We have to convert into rational number

Let x=8.132132132....         equation (1)

 multiply (1) equation by 1000 both sides

1000x= 8132.132132...          equation (2)

      subtracting equation (1) from (2)

1000x- x=  8132.132132...- 8.132132....

999x= 8124

x=[tex]\frac{8124}{999}[/tex]

x= 8[tex]\frac{132}{999}[/tex]

Hence, the correct answer is 8 and 132 over 999

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