Write 0.9999999..................in p/q form

1.	Write 0.9999999..................in p/q form
Answer» Let x be 0.9999Therefore 10x =9.999Mow subtract x from both the sides 10x-x = 9.999-0.99999x = 9x = 9/9I. Let x = 0.99999999 ....1 Since the repeating block has only one digit 9 , we multiply x by 10 to get10x = 9.999999 ....2Subtracting 1 from 2 we get 9x = 9 x = 9/9x = 1 Hence 0.99999 = 1

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