A) \[\frac{106}{99}\]
B) \[\frac{127}{99}\]
C) \[\frac{14}{11}\]
D) \[\frac{27}{99}\]
Correct Answer: C
Solution :
(c): Let \[x=1.\overline{27}\] then \[x=1.27272727\]?.(i) \[\Rightarrow 100x=127.272727\] ????.(ii) On subtraction (i) and (ii) we get \[99x=\left( 127.272727... \right)-\left( 1.272727 \right)\] \[\Rightarrow 99x=126\] \[x=\frac{126}{99}=\frac{14}{11}\] Hence, \[1.\overline{27}=\frac{14}{11}\]You need to login to perform this action.
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