Question

do the ratios 8:12 and 10:15 form a proportion? yes no

Explanation:

Step1: Simplify 8:12

To simplify the ratio \( 8:12 \), we find the greatest common divisor (GCD) of 8 and 12, which is 4. Then we divide both parts of the ratio by 4: \( \frac{8}{4}:\frac{12}{4} = 2:3 \).

Step2: Simplify 10:15

To simplify the ratio \( 10:15 \), we find the GCD of 10 and 15, which is 5. Then we divide both parts of the ratio by 5: \( \frac{10}{5}:\frac{15}{5} = 2:3 \).

Step3: Compare the simplified ratios

Since both ratios simplify to \( 2:3 \), they are equal and thus form a proportion.

Answer:

yes