Question

Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0. (4 points)

Answer 1

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 2

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=$\frac{8124}{999}$

x= 8$\frac{132}{999}$

Hence, the correct answer is 8 and 132 over 999