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Answer :
Final answer:
Only the ratios 12/16 and 15/20 form a proportion because they simplify to the same fraction, 3/4, indicating that they are equivalent ratios.
Explanation:
To determine which ratios form a proportion, we will compare equivalent ratios by cross-multiplying or simplifying the ratios to see if they are equal. A proportion exists when two ratios are equivalent.
A. To compare 4/9 and 2/3, we can simplify 2/3 to 6/9. Since 4/9 is not equal to 6/9, they do not form a proportion.
B. Comparing 6/15 and 9/12, we simplify them to 2/5 and 3/4, respectively. Since 2/5 is not equal to 3/4, they do not form a proportion.
C. The ratios 12/16 and 15/20 simplify to 3/4 and 3/4, which are equal. Therefore, these ratios do form a proportion.
D. 18/20 and 24/30 simplify to 9/10 and 4/5, which are not equal. Hence, they do not form a proportion.
The correct answer is C. 12/16 and 15/20 because they simplify to the same fraction, indicating that they are equivalent ratios and thus form a proportion.
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