Question

are the ratios 6:4 and 18:12 equivalent? yes no

Explanation:

Step1: Simplify 6:4

To simplify the ratio \(6:4\), we find the greatest common divisor (GCD) of 6 and 4, which is 2. Then we divide both parts by 2: \(\frac{6}{2}:\frac{4}{2}=3:2\).

Step2: Simplify 18:12

For the ratio \(18:12\), the GCD of 18 and 12 is 6. Dividing both parts by 6: \(\frac{18}{6}:\frac{12}{6}=3:2\).

Step3: Compare the simplified ratios

Since both \(6:4\) (simplified to \(3:2\)) and \(18:12\) (simplified to \(3:2\)) have the same simplified form, they are equivalent.

Answer:

yes