Question

graph \\(\frac{7}{6}\\) and \\(\frac{6}{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 and an orange dot at \\(\frac{7}{6}\\)
write an inequality comparing \\(\frac{7}{6}\\) and \\(\frac{6}{6}\\).

Explanation:

Step1: Simplify $\frac{6}{6}$

$\frac{6}{6}=1$

Step2: Locate $\frac{6}{6}$ on number line

$\frac{6}{6}$ aligns with the marked 1 on the line.

Step3: Compare the two fractions

Since $7>6$, for fractions with the same positive denominator, the fraction with the larger numerator is greater.
$\frac{7}{6}>\frac{6}{6}$

Answer:

$\frac{7}{6}>\frac{6}{6}$
(Note: To complete the graph, place a mark at the position labeled 1 (for $\frac{6}{6}$) in addition to the existing mark at $\frac{7}{6}$.)