- 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
Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is $ \frac{5}{6} $ th full and Samuel's shelf is $ \frac{2}{5} $ th full. Whose bookshelf is more full? By what fraction?
Given:
Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is \( \frac{5}{6} \) th full and Samuel's shelf is \( \frac{2}{5} \) th full.
To do:
We have to the find whose bookshelf is more full and by what fraction.
Solution:
Fraction of Asha’s bookshelf full $= \frac{5}{6}$
Fraction of Samuel’s bookshelf full $= \frac{2}{5}$
To find whose bookshelf is more full, we have to convert them into like fractions.
This implies,
LCM of denominators 6 and 5 is 30.
Therefore,
Fraction of Asha’s bookshelf full $= \frac{5}{6}$
$= \frac{5}{6} \times \frac{5}{5}$
$= \frac{5 \times 5}{6 \times 5}$
$= \frac{25}{30}$
Fraction of Samuel’s bookshelf full $= \frac{2}{5}$
$= \frac{2}{5} \times\frac{6}{6}$
$= \frac{2 \times 6}{5 \times 6}$
$= \frac{12}{30}$
Here,
$\frac{25}{30} > \frac{12}{30}$
This implies,
$\frac{5}{6} > \frac{2}{5}$
Therefore,
Asha’s bookshelf is more full than Samuel’s bookshelf
Asha’s bookshelf is more full than Samuel’s bookshelf by,
$\frac{25}{30} - \frac{12}{30}$
$= \frac{13}{30}$
To Continue Learning Please Login
Login with Google