Question

which number line shows a colored segment with a length of \\(\frac{1}{6}\\)?

Explanation:

Step1: Count total intervals on each line

1. First number line: Total intervals between 0 and 1 = $6$. Each interval length is $\frac{1}{6}$.
2. Second number line: Total intervals between 0 and 1 = $7$. Each interval length is $\frac{1}{7}$.
3. Third number line: Total intervals between 0 and 1 = $5$. Each interval length is $\frac{1}{5}$.

Step2: Match segment length to $\frac{1}{6}$

The colored segment on the first number line spans exactly one of its 6 equal intervals, so its length is $\frac{1}{6}$.

Answer:

The first (topmost) number line shows the colored segment of length $\frac{1}{6}$.