Question : The value of $11. \overline{4}+22.5 \overline{67}-33.5 \overline{9}$ is:
Option 1: $40. \overline{12}$
Option 2: $4. \overline{12}$
Option 3: $0.4\overline{12}$
Option 4: $0.04\overline{12}$
Correct Answer: $0.4\overline{12}$
Solution :
$11 . \overline{4}+22.5 \overline{67}-33.5 \overline{9}$
$= 11 + .\overline{4} + 22 + .5 \overline{67} - 33 - .5 \overline{9}$
$= .\overline{4} + .5 \overline{67} - .5 \overline{9}$
$= \frac{4}{9} + \frac{567-5}{990} - \frac{59-5}{90}$
$= \frac{440}{990} + \frac{562}{990} - \frac{594}{990}$
$= \frac{440 + 562 - 594}{990}$
$= \frac{408}{990}$
$= 0 .41212121212$
$= 0.4 \overline{12}$
Hence, the correct answer is $0.4 \overline{12}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
