Question

do the ratios 6:2 and 21:7 form a pro yes no

Explanation:

Step1: Simplify 6:2

Simplify the ratio \( 6:2 \) by dividing both terms by their greatest common divisor, which is 2. So, \( \frac{6}{2}:\frac{2}{2} = 3:1 \) or \( \frac{6}{2}=3 \).

Step2: Simplify 21:7

Simplify the ratio \( 21:7 \) by dividing both terms by their greatest common divisor, which is 7. So, \( \frac{21}{7}:\frac{7}{7}=3:1 \) or \( \frac{21}{7} = 3 \).

Step3: Compare the simplified ratios

Since both ratios simplify to \( 3:1 \) (or their fractional forms are both 3), they are equal and thus form a proportion.

Answer:

yes