Question

do the ratios 9:6 and 6:4 form a proportion? yes no

Explanation:

Step1: Simplify 9:6

Simplify the ratio \( 9:6 \) by dividing both terms by their greatest common divisor, which is 3. So, \( \frac{9}{3}:\frac{6}{3} = 3:2 \) or as a fraction \( \frac{9}{6}=\frac{3}{2} \).

Step2: Simplify 6:4

Simplify the ratio \( 6:4 \) by dividing both terms by their greatest common divisor, which is 2. So, \( \frac{6}{2}:\frac{4}{2}=3:2 \) or as a fraction \( \frac{6}{4}=\frac{3}{2} \).

Step3: Compare the two fractions

Since \( \frac{9}{6}=\frac{3}{2} \) and \( \frac{6}{4}=\frac{3}{2} \), the two ratios are equal, so they form a proportion.

Answer:

yes