Question : The value of $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ is:
Option 1: $0.4 \overline{98}$
Option 2: $0.4 \overline{94}$
Option 3: $0. \overline{498}$
Option 4: $0. \overline{495}$
Correct Answer: $0.4 \overline{98}$
Solution :
$0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$
can be written as
$=\frac{57}{99} - \frac{428}{990} + \frac{32}{90}$
$=\frac{(570 - 428 + 352)}{990}$
$=\frac{494}{990}$ [Converting into expression: 4 will be added with unit digit as the denominator having '0' in it)
Value of the given Expression = $0.4 \overline{98}$
Hence, the correct answer is $0.4\overline{98}$.
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 “”.
