Question

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

Answer 1

8 and 132 over 999.(option b)

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=
`(8124)/(999)`

x= 8
`(132)/(999)`

Hence, the correct answer is 8 and 132 over 999

Answer 2

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