Question

graph \\(\frac{3}{5}\\) and \\(\frac{3}{10}\\) on the number line.

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

write an inequality comparing \\(\frac{3}{5}\\) and \\(\frac{3}{10}\\).

Explanation:

Step1: Convert to common denominator

$\frac{3}{5} = \frac{3\times2}{5\times2} = \frac{6}{10}$

Step2: Compare the two fractions

Since $\frac{6}{10} > \frac{3}{10}$, substitute back the original fraction.

Answer:

$\frac{3}{5} > \frac{3}{10}$

(For the number line graph: Plot $\frac{3}{10}$ at the marked green point, and plot $\frac{3}{5}$ (which is $\frac{6}{10}$) at the tick labeled $\frac{6}{10}$ on the number line.)