Question

9.09(bar on. 09 ) in the form p/q is equal to :
(A) 1/1 (B) 101/11
(C) 100/11 (D) 10/1

Answer 1

Solution:

Option C is correct.



9.09(bar on .09)


Let x= 9.090909…...     (1)


Multiply eq 1 by 100


100× x = 100× 9.090909


100x = 909.090909………(2)


Subtract eq 1 from eq 2


100x - x = 909.090909 - 9.090909


99x = 900


x= 900/99


x= 100 /11

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