- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Simplify the following :$41 + \frac{1}{5} [[-10 \times (25 - 13 - 3)] \div (-5)]$
Given :
$41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\}$
To do :
We have to simplify the given expression.
Solution :
We have to use BODMAS method in these type of problems.
$41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\} =41+\frac{1}{5}\{[ -10\times ( 25-16)] \div ( -5)\}$
$ =41+\frac{1}{5}\{[ -10\times 9] \div ( -5)\}$
$ =41+\frac{1}{5}\{-90\div ( -5)\}$
$ =41+\frac{1}{5}\left(\frac{-90}{-5}\right)$
$ =41+\frac{1}{5}( 18)$
$ =41+\frac{18}{5}$
$ =\frac{41\times 5+18}{5}$
$ =\frac{205+18}{5}$
$ =\frac{223}{5}$ .
The simplified value of the given expression $41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\}$ is $\frac{223}{5}$
Advertisements