- Trending Categories
- 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

# In $\frac{p}{q}$ form of rational number why $q$ is not equal to $0$.

**Solution:**

Every rational number in the form $( \frac{p}{q})$ can be expressed as either a terminating decimal or a non-terminating and recurring decimal.

If $q=0$ then $( \frac{p}{q})$ neither terminating nor recurring.

So $q$ is not equal to $0$.

- Related Articles
- Is zero a rational number? Can you write it in the form $\frac{p}{q}$, where p and q are integers and $q≠0$?
- Why is the concept of $\frac{p}{q}$ important in rational numbers?
- Write $0.4\overline{7}$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q≠0$.
- Express $2.0 \overline {15}$ in the $\frac{p}{q}$ form, where $p$ and $q$ are integers and $q≠0$.
- A rational number is written in the form of $\frac{p}{q}$ where p and q are...a. Integersb. Fractionsc. Whole numbersd. None of these
- Convert $0.\overline{3}$ into $\frac{p}{q}$ form.
- Given that \( \frac{4 p+9 q}{p}=\frac{5 q}{p-q} \) and \( p \) and \( q \) are both positive. The value of $\frac{p}{q}$ is
- Express 3.565656..... in $\frac{p}{q}$ form.
- What is the $\frac{p}{q}$ form of 0.35?
- Simplify: $\frac{(q+\frac{1}{p})^m(q-\frac{1}{p})^m}{(p+\frac{1}{q})^m(p-\frac{1}{q})^m}$
- Why is only the $\frac{p}{q}$ form represent rational numbers? Why it cannot be$\frac{a}{b}$or any other variables ?
- Express the following in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q ≠ 0 \).(i) \( 0 . \overline{6} \)(ii) \( 0.4 \overline{7} \)(iii) \( 0 . \overline{001} \)
- Look at several examples of rational numbers in the form $\frac{p}{q}$ ($q ≠ 0$), where $p$ and $q$ are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property $q$ must satisfy?
- Express each of the following decimals in the form $\frac{p}{q}$:\( 0 . \overline{4} \)
- Express each of the following decimals in the form $\frac{p}{q}$:\( 0 . \overline{37} \)

Advertisements