To locate \( \frac{4}{6} \) on a number line between 0 and 1, you can first simplify the fraction.
\[ \frac{4}{6} = \frac{2}{3} \]
Now, to find \( \frac{2}{3} \) on a number line, divide the segment between 0 and 1 into three equal parts since the denominator is 3. This gives you:
- The first point, which is \( \frac{1}{3} \).
- The second point, which is \( \frac{2}{3} \).
- The last point is 1.
Therefore, \( \frac{2}{3} \) (or \( \frac{4}{6} \)) is located two-thirds of the way from 0 to 1 on the number line. It lies after \( \frac{1}{3} \) and before 1.