A) \[\frac{1}{27}\]
B) \[\frac{1}{11}\]
C) \[\frac{14}{11}\]
D) \[\frac{14}{27}\]
Correct Answer: C
Solution :
[c] x = 1.272727 ??.. Since two digits are repeating, we multiply x by 100 to get 100x = 127.2727 ?.. So, 100x = 126 + 1.272727?? = 126 + x Therefore,\[100x-x=126,\] \[\Rightarrow \] \[99x=126\] \[\Rightarrow \] \[x=\frac{126}{99}=\frac{14}{11}\]You need to login to perform this action.
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