Question

Write three equivalent ratios of(i) 6:16

Answer 1

Answers:

• 3:8
• 9:24
• 12:32

Other answers are possible.

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Step-by-step explanation

Divide both parts of the ratio 6:16 by the GCF 2. This will fully simplify the ratio.

• 6/2 = 3
• 16/2 = 8

The ratio 6:16 fully reduces to 3:8 which is one possible answer.

Triple both parts of that new ratio to get 9:24 which is another possible answer.

Return back to 3:8. Quadruple both parts to get another answer 12:32

There are infinitely many possible answers of the form 3k:8k where k is some nonzero real number. Each ratio mentioned fully reduces back to 3:8.