Draw the number line and represent the rational number on it:
`(-7)/(4)`

Answer

To represent the rational number \(-\frac{7}{4}\) on a number line, follow these steps:

### Step-by-Step Solution:

1. **Draw the Number Line**: Start by drawing a horizontal line. Mark a point in the center as \(0\). This will be the reference point for positive and negative numbers.

2. **Identify the Range**: Since \(-\frac{7}{4}\) is a negative number, we will focus on the left side of \(0\).

3. **Convert the Rational Number**: Convert \(-\frac{7}{4}\) into a mixed number to understand its position better.
- Divide \(7\) by \(4\): \(7 \div 4 = 1\) with a remainder of \(3\).
- Thus, \(-\frac{7}{4} = -1\frac{3}{4}\).

4. **Mark the Whole Numbers**: On the number line, mark the whole numbers to the left of \(0\):
- Mark \(-1\) and \(-2\).

5. **Divide the Segment Between Whole Numbers**: Divide the segment between \(-1\) and \(-2\) into four equal parts since the denominator of our rational number is \(4\):
- The points will be \(-1\), \(-\frac{5}{4}\), \(-\frac{6}{4}\) (which is \(-1.5\)), \(-\frac{7}{4}\) (which is \(-1.75\)), and \(-2\).

6. **Locate \(-\frac{7}{4}\)**: Now, locate \(-\frac{7}{4}\) on the number line. It will be the third mark to the left of \(-1\), between \(-1\) and \(-2\).

### Final Representation:
- The number \(-\frac{7}{4}\) is represented on the number line as a point between \(-1\) and \(-2\), specifically closer to \(-2\).