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Select two ratios that have the same unit rate as the ratio below.6 : 9Responses15 : 1515 : 158 : 128 : 1216 : 1916 : 192 : 3

Question

Select two ratios that have the same unit rate as the ratio below.

6 : 9

Responses
15 : 15
15 : 15
8 : 12
8 : 12
16 : 19
16 : 19
2 : 3

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Solution

The two ratios that have the same unit rate as the ratio 6:9 are 8:12 and 2:3.

Here's how you can find out:

  1. First, simplify the given ratio 6:9 by dividing both numbers by their greatest common divisor, which is 3. This gives you 2:3.

  2. Now, look at the provided options and simplify them in the same way.

  3. The ratio 15:15 simplifies to 1:1, which is not the same as 2:3.

  4. The ratio 8:12 simplifies to 2:3, which is the same as the given ratio.

  5. The ratio 16:19 cannot be simplified to 2:3.

  6. The ratio 2:3 is already in the simplest form and is the same as the given ratio.

So, the ratios 8:12 and 2:3 have the same unit rate as the ratio 6:9.

This problem has been solved

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