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Answer :
Final answer:
Two ratios are considered equivalent when they represent the same relationship between two quantities. The ratio 198:1287 and 2:13 are equivalent because they simplify to the same fraction, which is 2/13.
Explanation:
Two ratios are equivalent when they represent the same relationship between two quantities. In this case, the ratio 198:1287 is equivalent to the ratio 2:13.
To see why, we can divide both ratios by their greatest common divisor (GCD) to simplify them. The GCD of 198 and 1287 is 99, so dividing both sides of the first ratio by 99, we get 2:13.
Therefore, the ratios 198:1287 and 2:13 are equivalent because they represent the same fraction, which is 2/13.
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