Question

which of the following ratios are equivalent to each other?
□ 4 : 9
□ 10 : 25
□ 6 : 15
□ 2 : 5

Explanation:

Step1: Simplify 4:9

$\frac{4}{9}$ (already in simplest form)

Step2: Simplify 10:25

Divide by GCD 5: $\frac{10\div5}{25\div5}=\frac{2}{5}$

Step3: Simplify 6:15

Divide by GCD 3: $\frac{6\div3}{15\div3}=\frac{2}{5}$

Step4: Simplify 2:5

$\frac{2}{5}$ (already in simplest form)

Answer:

10 : 25, 6 : 15, 2 : 5