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
$ 4 \frac{4}{5}+\left\{2 \frac{1}{5}-\frac{1}{2}\left(1 \frac{1}{4}-\frac{1}{4}-\frac{1}{5}\right)\right\} $
Given: $ 4 \frac{4}{5}+\left\{2 \frac{1}{5}-\frac{1}{2}\left(1 \frac{1}{4}-\frac{1}{4}-\frac{1}{5}\right)\right\} $
To do: Solve the given
Solution:
$ 4 \frac{4}{5}+\left\{2 \frac{1}{5}-\frac{1}{2}\left(1 \frac{1}{4}-\frac{1}{4}-\frac{1}{5}\right)\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{5}{4}-\frac{1}{4}-\frac{1}{5}\right)\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{5}{4}-\frac{5-4}{20}\right)\right\} $ [LCM of 4 and 5 is 20]
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{5}{4}-\frac{1}{20}\right)\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{5\times5-1}{20}\right)\right\} $ [LCM of 20 and 4 is 20]
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{25-1}{20}\right)\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{24}{20}\right)\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\left( \frac{6}{5}\right)\right\} $ [24 and 20 are both divisible by 2]
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{1}{2}\times \frac{6}{5}\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{6}{10}\right\} $
$ \frac{24}{5}+\left\{\frac{11}{5}-\frac{3}{5}\right\} $ [6 and 10 are divisible by 2]
$ \frac{24}{5}+\left\{\frac{11-3}{5}\right\} $
$ \frac{24}{5}+\left\{\frac{8}{5}\right\} $
$\frac{24}{5}+\frac{8}{5}$
$\frac{24+8}{8}$
$\frac{32}{8}$
4
31 Views
