Question

graph \\(\frac{11}{6}\\) and \\(\frac{1}{6}\\) on the number line.

(number line with marks at 0, \\(\frac{1}{6}\\), \\(\frac{2}{6}\\), \\(\frac{3}{6}\\), \\(\frac{4}{6}\\), \\(\frac{5}{6}\\), 1, \\(\frac{7}{6}\\), \\(\frac{8}{6}\\), \\(\frac{9}{6}\\), \\(\frac{10}{6}\\), \\(\frac{11}{6}\\), 2)

write an inequality comparing \\(\frac{11}{6}\\) and \\(\frac{1}{6}\\).

Explanation:

Step1: Locate fractions on number line

$\frac{1}{6}$ is at the first mark right of 0; $\frac{11}{6}$ is at the mark left of 2.

Step2: Compare the two fractions

Since $\frac{11}{6}$ is right of $\frac{1}{6}$ on the number line, it is larger.
<Expression>$\frac{11}{6} > \frac{1}{6}$</Expression>

Answer:

$\frac{11}{6} > \frac{1}{6}$
(Note: On the provided number line, $\frac{1}{6}$ is marked at the first tick after 0, and $\frac{11}{6}$ is marked at the tick immediately before 2; these are the points to graph.)