- 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
What should be subtracted from $(\frac{3}{4}-\frac{2}{3})$ to get $\frac{−1}{6}$?
Given :
The given numbers are $(\frac{3}{4}-\frac{2}{3})$ and $\frac{-1}{6}$.
To do :
We have to find the number that should be subtracted from $(\frac{3}{4}-\frac{2}{3})$ to get $\frac{-1}{6}$.
Solution :
Let the number to be subtracted from $(\frac{3}{4}-\frac{2}{3})$ to get $\frac{-1}{6}$ be $x$.
This implies,
$(\frac{3}{4}-\frac{2}{3})-x=\frac{-1}{6}$
$x =(\frac{3}{4}-\frac{2}{3})-\frac{-1}{6}$
$x = \frac{[3(3)-4(2)]}{12}+\frac{1}{6}$
$x = \frac{(9-8)}{12}+\frac{1}{6}$
$x = \frac{1}{12}+\frac{1}{6}$
$x=\frac{1(1)+1(2)}{12}$
$x=\frac{3}{12}$
$x=\frac{1}{4}$
The number to be subtracted from $(\frac{3}{4}-\frac{2}{3})$ to get $\frac{-1}{6}$ is $\frac{1}{4}$.  
Advertisements