Question

Where’s 8/3 on a number line

Answer 1

To locate \( \frac{8}{3} \) on a number line, you can follow these steps:

1. **Convert the fraction to a mixed number**: \( \frac{8}{3} \) can be rewritten as \( 2\frac{2}{3} \). This means it is 2 whole units and an additional \( \frac{2}{3} \).

2. **Identify the whole numbers**: On a number line, you will first locate 0, 1, 2, and 3. Since \( \frac{8}{3} \) is greater than 2 but less than 3, you'll focus on the section between 2 and 3.

3. **Divide the segment between 2 and 3 into thirds**: Since the denominator is 3, divide the segment between 2 and 3 into three equal parts. Each part represents \( \frac{1}{3} \).

4. **Count the units**: Starting from 2:
- The first mark (2 + \( \frac{1}{3} \)) represents \( \frac{7}{3} \) (or approximately 2.33).
- The second mark (2 + \( \frac{2}{3} \)) represents \( \frac{8}{3} \) (or approximately 2.67).

So, \( \frac{8}{3} \) will be positioned slightly before the 3, between \( \frac{7}{3} \) and 3 on the number line.