Question

graph \\(\frac{3}{4}\\) and \\(\frac{3}{8}\\) on the number line.

0 \\(\frac{1}{8}\\) \\(\frac{2}{8}\\) \\(\frac{3}{8}\\) \\(\frac{4}{8}\\) \\(\frac{5}{8}\\) \\(\frac{6}{8}\\) \\(\frac{7}{8}\\) 1

write an inequality comparing \\(\frac{3}{4}\\) and \\(\frac{3}{8}\\).

Explanation:

Step1: Convert to common denominator

$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$

Step2: Locate on number line

$\frac{3}{8}$ aligns with the marked $\frac{3}{8}$; $\frac{6}{8}$ aligns with the marked $\frac{6}{8}$.

Step3: Compare the fractions

On the number line, $\frac{6}{8}$ is to the right of $\frac{3}{8}$, so $\frac{6}{8} > \frac{3}{8}$.

Answer:

Graph: Mark a point at $\frac{3}{8}$ and a point at $\frac{6}{8}$ (equivalent to $\frac{3}{4}$) on the given number line.
Inequality: $\frac{3}{4} > \frac{3}{8}$