Question

Express each in p/q form 0.8888...

Answer 1

let x=0.8888888... >1
10x=8.8888888... >2

subtracting 2 from 1
10x=8.88888888...
9x=0.88888888...
》9x=8
x=8/9

Answer 2

Hey user, here is your answer...
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Let x be equal to 0.8888....

x = 0.8888....

Then multiplying 10 in both sides, we get,

=> 10x = 8.8888....

=> 10x = 8 + 0.8888....

=> 10x = 8 + x

=> 10x - x = 8

=> 9x = 8

=> x = $\frac{8}{9}$

Therefore, 0.8888... in p/q form is,

'8/9'
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Hope it helps.
Thanks for the question.