Question

express as p/q - 0.9 ( bar on 9 )

Answer 1

Hey!

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0.9 bar

Let x = 0.9999.... (i)

[Multiplying from 10 on both sides]

10 x = 9.999..... (ii)

[ Subtracting (i) from (ii) ]

10x - x = 9.99.... - 0.99....
9x = 9
x = 9/9
x= 1

In p/q form = 1/1

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Hope it helps...!!!

Answer 2

Hey friend,
Here is the answer you were looking for:

$x = 0.9999.... \: \: \: \: (1 \: eqauation)\\ (multiplying \: 10 \: in \: both \: equations) \\ 10x = 9.9999.... \: \: \: \: (2 \: equation) \\ \\ (sutracting \: 1st \: equation \: from \: 2nd \: equation) \\ \\ 10x - x = 9.999... - 0.999.. \\ \\ 9x = 9 \\ \\ x = \frac{9}{9}$

Hope this helps!!!
Thanks...
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