Draw the number line and represent the rational number on it:
` (3)/(4)`

Answer

To represent the rational number \( \frac{3}{4} \) 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 of the line and label it as \( 0 \).

2. **Mark Positive and Negative Directions**:
- To the right of \( 0 \), label points as positive numbers: \( 1, 2, 3, \) etc.
- To the left of \( 0 \), label points as negative numbers: \( -1, -2, -3, \) etc.

3. **Divide the Segment Between 0 and 1**:
- Since \( \frac{3}{4} \) is a fraction, we need to divide the segment between \( 0 \) and \( 1 \) into equal parts.
- Divide this segment into 4 equal parts because the denominator of \( \frac{3}{4} \) is \( 4 \).

4. **Label the Fractions**:
- Starting from \( 0 \), label the first point as \( \frac{1}{4} \), the second point as \( \frac{2}{4} \) (which is equivalent to \( \frac{1}{2} \)), the third point as \( \frac{3}{4} \), and the last point as \( \frac{4}{4} \) (which is equivalent to \( 1 \)).

5. **Locate \( \frac{3}{4} \)**:
- Identify the point labeled \( \frac{3}{4} \) on the number line. This is the point that represents the rational number \( \frac{3}{4} \).

### Final Representation:
- The point \( \frac{3}{4} \) is located three-quarters of the way from \( 0 \) to \( 1 \) on the number line.