Question

select all ratios that form a proportion with \\(\frac{10}{4}\\).
\\(\square\\) \\(\frac{15}{9}\\)
\\(\square\\) \\(\frac{2}{5}\\)
\\(\square\\) \\(\frac{20}{8}\\)
\\(\square\\) \\(\frac{45}{18}\\)

Explanation:

Step1: Simplify the given ratio

$\frac{10}{4} = \frac{5}{2}$

Step2: Simplify each option ratio

• $\frac{15}{9} = \frac{5}{3}$
• $\frac{2}{5}$ (already simplified)
• $\frac{20}{8} = \frac{5}{2}$
• $\frac{45}{18} = \frac{5}{2}$

Step3: Match simplified ratios

Compare each simplified ratio to $\frac{5}{2}$.

Answer:

$\frac{20}{8}$, $\frac{45}{18}$