Question

express o.888888....... in the form of p/q where p and q are integers and q is not equal to 0​

Answer 1

Step-by-step explanation:

let x=0.8(bar)

Here,1 digit is repeating we will multiply both sides with 10.

10x=8.8(bar)

10x=8+0.8(bar)

10x=8+x (As x=0.8(bar))

10x-x=8

9x=8

x=8/9

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Answer 2

x=0.8888...

multiply 10 by both the sides

x×10=0.888...×10

10x=8.8888...

subtract the above two equations

10x-x8.888...-0.888...

9x=8

x=8/9