Question

are the ratios 3:9 and 2:6 equivalent? yes no

Explanation:

Step1: Simplify 3:9

A ratio \( a:b \) can be simplified by dividing both \( a \) and \( b \) by their greatest common divisor (GCD). The GCD of 3 and 9 is 3. So, \( \frac{3}{3}:\frac{9}{3}=1:3 \).

Step2: Simplify 2:6

The GCD of 2 and 6 is 2. Dividing both by 2, we get \( \frac{2}{2}:\frac{6}{2}=1:3 \).

Step3: Compare the simplified ratios

Both ratios simplify to \( 1:3 \), so they are equivalent.

Answer:

yes