Middle School

Which ratios form a proportion? Use equivalent ratios to test each pair.

A. \(\frac{4}{9}, \frac{2}{3}\)

B. \(\frac{6}{15}, \frac{9}{12}\)

C. \(\frac{12}{16}, \frac{15}{20}\)

D. \(\frac{18}{20}, \frac{24}{30}\)

Answer :

I agree it’s b because it dose pair test

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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