Question

graph \\(\frac{4}{5}\\) and \\(\frac{4}{10}\\) on the number line.

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

write an inequality comparing \\(\frac{4}{5}\\) and \\(\frac{4}{10}\\).

Explanation:

Step1: Convert to common denominator

Rewrite $\frac{4}{5}$ with denominator 10:
$\frac{4}{5} = \frac{4\times2}{5\times2} = \frac{8}{10}$

Step2: Locate on number line

• $\frac{4}{10}$ aligns with the marked $\frac{4}{10}$ tick.
• $\frac{8}{10}$ aligns with the marked $\frac{8}{10}$ tick.

Step3: Compare the fractions

Since $\frac{8}{10} > \frac{4}{10}$, substitute back the original fraction.

Answer:

Graph: Mark a point at $\frac{4}{10}$ and a point at $\frac{8}{10}$ (equivalent to $\frac{4}{5}$) on the given number line.
Inequality: $\frac{4}{5} > \frac{4}{10}$