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Answer :
Final answer:
The simplest form of the ratio of 7th-grade boys to 6th-grade boys is 13/15 (Option A), and the simplest form of the ratio of 7th-grade girls to 6th-grade boys is 17/11 (Option C).
Explanation:
The correct answer for the ratio of 7th-grade boys to 6th-grade boys, expressed as a fraction in simplest form, is option A. To simplify the ratio 26 to 30, we look for the greatest common factor between the two numbers. The greatest common factor of 26 and 30 is 2. When we divide both numbers by 2, we get 13/15, which cannot be simplified further. Therefore, the simplest form of the ratio of 7th-grade boys to 6th-grade boys is 13/15.
For the ratio of 7th-grade girls to 6th-grade boys, the correct answer is option C. The numbers 34 and 22 both have a common factor of 2. Dividing both by 2, we get 17/11, which is the fraction in its simplest form. Therefore, the simplest form of the ratio of 7th-grade girls to 6th-grade boys is 17/11.
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