A) 37/1000
B) 37/990
C) 1/37
D) 1/27
Correct Answer: B
Solution :
[b] The value of \[0.0\overline{37}\] stands for the number 0.0373737??=0.037+0.00037+??. \[=\frac{37}{{{10}^{3}}}+\frac{37}{{{10}^{5}}}+.........=\] \[\frac{37}{{{10}^{3}}}\left[ 1+\frac{1}{100}+..... \right]\] \[=\frac{37}{{{10}^{3}}}\left[ \frac{1}{1-\frac{1}{100}} \right]=\frac{37}{990}\]
You need to login to perform this action.
You will be redirected in
3 sec
