Represent 0.9bar as rational number
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let x=0.9bar
=> 10x=9.9bar
=> 10x=9+0.9bar
=> 10x=9+x
=> 9x=9
so x= 1
so 0.9bar =1 proved that 0.9 bat is rational
=> 10x=9.9bar
=> 10x=9+0.9bar
=> 10x=9+x
=> 9x=9
so x= 1
so 0.9bar =1 proved that 0.9 bat is rational
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