| \[(1.\overline{2})\times (0.\overline{03})\] is equal to |
A) \[0.\overline{04}\]
B) \[0.\overline{036}\]
C) \[0.\overline{13}\]
D) \[0.\overline{037}\]
Correct Answer: D
Solution :
| \[(1.\overline{2})\times (0.\overline{03})=\left( 1+\frac{2}{9} \right)\times \left( \frac{3}{99} \right)\] |
| \[=\left( \frac{11}{9} \right)\times \left( \frac{3}{99} \right)=\frac{1}{27}=(0.\overline{037})\] |
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