Why does cantors theorem not prove the interval (0,1) in Q uncountable?

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This is a 'just for fun' question at the end of my online lecture notes..
My brain is fried from studying for exams, I can't figure it out and it is driving me mad!
Anyone care to help me out?
 
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Not every number which can be constructed through Cantor's procedure is rational; so, you would need to show that you can always construct a rational number which is not on the list.
 

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