- 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
Express the following as improper fractions:
(a) \( 7 \frac{3}{4} \)
(b) \( 5 \frac{6}{7} \)
(c) \( 2 \frac{5}{6} \)
(d) \( 10 \frac{3}{5} \)
(e) \( 9 \frac{3}{7} \)
(f) \( 8 \frac{4}{9} \)
To do :
We have to convert the given fractions to improper fractions.
Solution :
To convert a mixed fraction to an improper fraction, follow these steps:
1. Multiply the whole number part by the fraction's denominator.
2. Add the result to the numerator.
3. Then write the result on top of the denominator keeping denominator unchanged.
(a) $7\frac{3}{4}$.
1. $7\times 4 + 3 = 28 + 3 = 31$ is the numerator.
2. Denominator remains unchanged.
3. So, $7 \frac{3}{4} =\frac{31}{4}$.
Therefore, improper fraction of $7 \frac{3}{4}$ is $\frac{31}{4}$.
(b) $5\frac{6}{7}$.
1. $5\times 7 + 6= 35 + 6 = 41$ is the numerator.
2. Denominator remains unchanged.
3. So, $5 \frac{6}{7} =\frac{41}{7}$.
Therefore, improper fraction of $5 \frac{6}{7}$ is $\frac{41}{7}$.
(c) $2\frac{5}{6}$.
1. $2\times 6+ 5= 12 + 5 = 17$ is the numerator.
2. Denominator remains unchanged.
3. So, $2 \frac{5}{6} =\frac{17}{6}$.
Therefore, improper fraction of $2 \frac{5}{6}$ is $\frac{17}{6}$.
(d) $10\frac{3}{5}$.
1. $10\times 5+ 3= 50 + 3 = 53$ is the numerator.
2. Denominator remains unchanged.
3. So, $10 \frac{3}{5} =\frac{53}{5}$.
Therefore, improper fraction of $10 \frac{3}{5}$ is $\frac{53}{5}$.
(e) $9\frac{3}{7}$.
1. $9\times 7+ 3= 63 + 3 = 66$ is the numerator.
2. Denominator remains unchanged.
3. So, $9 \frac{3}{7} =\frac{66}{7}$.
Therefore, improper fraction of $9 \frac{3}{7}$ is $\frac{66}{7}$.
(f) $8\frac{4}{9}$.
1. $8\times 9+ 4= 72 + 4 = 76$ is the numerator.
2. Denominator remains unchanged.
3. So, $8 \frac{4}{9} =\frac{76}{9}$.
Therefore, improper fraction of $8 \frac{4}{9}$ is $\frac{76}{9}$.