Represents `(4)/(3)` on the number line.

Explanation

To represent \( \frac{4}{3} \) on the number line, follow these steps:

### Step-by-Step Solution:

1. **Understand the Fraction**:
- The fraction \( \frac{4}{3} \) can be interpreted as a mixed number. It can be rewritten as \( 1 \frac{1}{3} \) because \( 4 \div 3 = 1 \) with a remainder of \( 1 \).

**Hint**: Remember that a fraction can often be expressed as a whole number plus a fraction.

2. **Draw the Number Line**:
- Start by drawing a horizontal line and marking points for whole numbers. Include at least the numbers \( 0, 1, 2, 3, 4 \).

**Hint**: Make sure to label your number line clearly with evenly spaced intervals.

3. **Locate the Whole Number Part**:
- Identify the whole number part of \( 1 \frac{1}{3} \), which is \( 1 \). Mark this point on the number line.

**Hint**: The whole number part of a mixed number is where you start on the number line.

4. **Divide the Interval**:
- The next step is to focus on the interval between \( 1 \) and \( 2 \). Divide this interval into three equal parts since the denominator of the fraction is \( 3 \).

**Hint**: Each part represents \( \frac{1}{3} \).

5. **Mark the Fractions**:
- Label the divisions as follows:
- The first mark after \( 1 \) is \( \frac{1}{3} \) (which is \( 1 + \frac{1}{3} = \frac{4}{3} \)).
- The second mark is \( \frac{2}{3} \) (which is \( 1 + \frac{2}{3} = \frac{5}{3} \)).
- The third mark is \( 2 \) (which is \( 1 + 3/3 = 2 \)).

**Hint**: Ensure that the distances between each mark are equal to represent the fractions accurately.

6. **Identify \( \frac{4}{3} \)**:
- The point \( \frac{4}{3} \) is located at the first mark after \( 1 \), which is \( 1 + \frac{1}{3} \).

**Hint**: Check that \( \frac{4}{3} \) is indeed greater than \( 1 \) but less than \( 2 \).

### Final Representation:
- You have successfully represented \( \frac{4}{3} \) on the number line, which is located between \( 1 \) and \( 2 \), specifically at the first division after \( 1 \).