A rational number is expressed is ……….where p and q are integers and q*0

Options

A. pq
B. `p+q`
C. `p-q`
D. `(mu/q)`

Answer

To express a rational number, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Rational Numbers**: A rational number is defined as a number that can be expressed as the quotient or fraction \( \frac{p}{q} \) of two integers, where \( p \) is the numerator and \( q \) is the denominator.

2. **Identifying the Variables**: In this expression, \( p \) and \( q \) are both integers. This means that \( p \) can be any whole number (positive, negative, or zero), and \( q \) can also be any whole number, but with a specific condition.

3. **Condition for the Denominator**: The key condition for \( q \) is that it cannot be zero. This is because division by zero is undefined in mathematics. Therefore, \( q \neq 0 \).

4. **Final Expression**: Based on the above points, we can fill in the blank in the statement: "A rational number is expressed in \( \frac{p}{q} \) where \( p \) and \( q \) are integers and \( q \neq 0 \)."

### Conclusion:
Thus, the correct way to express a rational number is in the form \( \frac{p}{q} \).

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